Short answer
No. The New Testament pictures Jesus returning as a judge. In Revelation, a rider called the Word of God judges and makes war, in a robe dipped in blood. Second Thessalonians says the Lord Jesus will come "in flaming fire taking vengeance". In Matthew, Jesus tells those on his left to depart into everlasting fire. John's Gospel says the Father has given all judgement to the Son. So the idea that Christians have a God of love and Muslims a God of wrath does not hold. The Qur'an openly teaches both mercy and justice. The Prophet (ﷺ) said that Allah's (﷾) mercy prevails over His anger.
Full explanation
The charge: love against wrath
Some Christians tell Muslims: your God is a God of wrath, ours is a God of love. They point to two verses. 1 John 4:8, in a New Testament letter, says that God (﷾) is love. John 3:17 says God (﷾) sent His Son into the world not to condemn it but to save it.
“He that loveth not knoweth not God; for God is love.”
“For God sent not his Son into the world to condemn the world; but that the world through him might be saved.”
Jesus as judge in the Gospels
The Gospel of John says the Father judges no one and has given all judgement to the Son. In Matthew, Jesus pictures the Son of man, his own title for himself, on the throne of his glory. He tells those on his left to depart, cursed, into everlasting fire.
“When the Son of man shall come in his glory, and all the holy angels with him, then shall he sit upon the throne of his glory:”
“Then shall he say also unto them on the left hand, Depart from me, ye cursed, into everlasting fire, prepared for the devil and his angels:”
“For the Father judgeth no man, but hath committed all judgment unto the Son:”
The rider on the white horse
Revelation is the last book of the Bible. In it, heaven opens and a rider on a white horse judges and makes war. His name is the Word of God, and John's Gospel calls Jesus the Word. A sword comes out of his mouth to strike the nations. He treads the winepress of God's (﷾) wrath, a winepress being a vat where grapes are crushed. The chapter ends with his enemies slain and the birds filled with their flesh. Revelation also says the worshippers of the beast, a figure of evil in its visions, will be tormented with fire and brimstone. This happens in the presence of the Lamb, its usual name for Jesus. This is a vision full of symbols, and Christian commentators usually take the sword to be his word. But the symbols were chosen to say something, and what they say is not only love.
“And I saw heaven opened, and behold a white horse; and he that sat upon him was called Faithful and True, and in righteousness he doth judge and make war.”
“And he was clothed with a vesture dipped in blood: and his name is called The Word of God.”
“In the beginning was the Word, and the Word was with God, and the Word was God.”
“And out of his mouth goeth a sharp sword, that with it he should smite the nations: and he shall rule them with a rod of iron: and he treadeth the winepress of the fierceness and wrath of Almighty God.”
“And the remnant were slain with the sword of him that sat upon the horse, which sword proceeded out of his mouth: and all the fowls were filled with their flesh.”
“The same shall drink of the wine of the wrath of God, which is poured out without mixture into the cup of his indignation; and he shall be tormented with fire and brimstone in the presence of the holy angels, and in the presence of the Lamb:”
Flaming fire at his return
Second Thessalonians, another New Testament letter, says the same without symbols. The Lord Jesus will be revealed from heaven in flaming fire. He will take vengeance on those who do not know God (﷾). They will be punished with everlasting destruction.
“And to you who are troubled rest with us, when the Lord Jesus shall be revealed from heaven with his mighty angels, In flaming fire taking vengeance on them that know not God, and that obey not the gospel of our Lord Jesus Christ: Who shall be punished with everlasting destruction from the presence of the Lord, and from the glory of his power;”
A parable and a sword
In Luke, Jesus tells a story of a nobleman who goes to a far country to receive a kingdom and then returns. As king, he orders his enemies, who would not have him reign, to be brought and slain before him. These are the nobleman's words in a story, not Jesus speaking of himself. But Christian commentators read the nobleman as Christ, who goes to heaven and returns as king. Jesus also said he came not to send peace but a sword. He meant division in families, not killing, as Luke's word "division" shows. Still, these are not the words of someone who came only to bring peace.
“He said therefore, A certain nobleman went into a far country to receive for himself a kingdom, and to return.”
“But those mine enemies, which would not that I should reign over them, bring hither, and slay them before me.”
Reads the nobleman in the parable as Christ, who went into heaven to receive his kingdom and will come again, and reads the citizens who would not have him reign over them as those who reject Christ, whose ruin the parable foretells.
“Think not that I am come to send peace on earth: I came not to send peace, but a sword. For I am come to set a man at variance against his father, and the daughter against her mother, and the daughter in law against her mother in law. And a man’s foes shall be they of his own household.”
“Suppose ye that I am come to give peace on earth? I tell you, Nay; but rather division:”
Jesus and the punishment in the desert
The King James Version of Jude says the Lord saved the people out of Egypt and afterward destroyed those who did not believe. Scholars today use a Greek text rebuilt from the oldest manuscripts. It reads Jesus in that place. Paul, a Christian missionary of the first century, also warns Christians not to tempt Christ, as some Israelites did and were destroyed by serpents. Christians who accept these readings must place Jesus in the Old Testament's punishments. Muslims do not: Jesus was not yet born.
“I will therefore put you in remembrance, though ye once knew this, how that the Lord, having saved the people out of the land of Egypt, afterward destroyed them that believed not.”
The standard critical Greek New Testament. In Jude 5 its 28th edition reads "Jesus" (Iesous) as the one who saved the people out of Egypt and afterward destroyed those who did not believe; the English Standard Version also reads "Jesus" there. In 1 Corinthians 10:9 it reads "Christ", as the King James Version does, although some manuscripts read "the Lord".
“Neither let us tempt Christ, as some of them also tempted, and were destroyed of serpents.”
The same yesterday, today and for ever
Christians teach the Trinity: one God in three persons. In that teaching, Jesus is the same God who gave the Law and commanded the wars of the Old Testament. Hebrews says he is the same yesterday, today and for ever. So a Christian cannot set a gentle Jesus against a harsh Old Testament. If Jesus is God, he is the Lord who commanded Saul, Israel's first king, to spare no one in Amalek. Amalek was an enemy tribe. For a Muslim, Jesus was a prophet and servant of God (﷾). Mercy and justice both belong to God (﷾) alone.
“Jesus Christ the same yesterday, and to day, and for ever.”
“Now go and smite Amalek, and utterly destroy all that they have, and spare them not; but slay both man and woman, infant and suckling, ox and sheep, camel and ass.”
Mercy and justice, and which is greater
Islam teaches judgement openly, and it teaches mercy too. The Qur'an sets mercy and punishment side by side: Allah (﷾) is Oft-forgiving and Most Merciful, and His penalty is the most grievous. His mercy extends to all things. One of His names is al-Wadud, the Loving. The Prophet (ﷺ) said that Allah (﷾) wrote in His Book that His mercy prevails over His anger. He also said that Allah (﷾) is more merciful to His servants than a mother to her child. Islam also teaches that Jesus will return and judge justly.
“Tell My servants that I am indeed the Oft-forgiving, Most Merciful; And that My Penalty will be indeed the most grievous Penalty.”
“"And ordain for us that which is good, in this life and in the Hereafter: for we have turned unto Thee." He said: "With My punishment I visit whom I will; but My mercy extendeth to all things. That (mercy) I shall ordain for those who do right, and practise regular charity, and those who believe in Our signs;-”
“And He is the Oft-Forgiving, Full of Loving-Kindness,”
Abu Hurayra reports that the Prophet (ﷺ) said: when Allah completed the creation, He wrote in His Book, which is with Him above the Throne, that His mercy prevails over His anger. Sahih Muslim 2751 has the same saying.
Umar reports that captives were brought to the Prophet (ﷺ), among them a woman whose breasts were full of milk; whenever she found a child among the captives, she held it to her chest and nursed it. The Prophet asked whether she could ever throw her child into a fire. They said no. He said: Allah is more merciful to His servants than this woman is to her child.
Abu Huraira reports that the Prophet (ﷺ) swore that the son of Mary will soon descend among the Muslims as a just ruler. He will break the cross, kill the swine and end the jizya, and wealth will be so plentiful that no one will accept it. Abu Huraira then recited Qur'an 4:159: none of the People of the Book but will believe in him before his death.
Verse by verse
John 3:17 — Gospel of John, chapter 3, verse 17
“For God sent not his Son into the world to condemn the world; but that the world through him might be saved.”
Cited for
God sent His Son to save the world, not to condemn it. Jesus is love; wrath belongs to the Old Testament.
The response
The same Gospel says the Father has committed all judgement to the Son. In Matthew, Jesus himself sends those on his left into everlasting fire.
Where it lands — The Gospels make Jesus the judge, so wrath is not left behind in the Old Testament.
Revelation 19:15 — Revelation of John, chapter 19, verse 15
“And out of his mouth goeth a sharp sword, that with it he should smite the nations: and he shall rule them with a rod of iron: and he treadeth the winepress of the fierceness and wrath of Almighty God.”
Cited for
Revelation is symbolic. The sword from his mouth is his word, not a weapon.
The response
That may be granted. But the symbols were chosen to say something. They include a robe dipped in blood, the winepress of God's (﷾) wrath, and the remnant slain and the birds filled with their flesh.
Where it lands — Read as symbols, these verses still picture judgement and war, not only love.
Luke 19:27 — Gospel of Luke, chapter 19, verse 27
“But those mine enemies, which would not that I should reign over them, bring hither, and slay them before me.”
Cited for
This is a parable. The nobleman speaks these words, not Jesus.
The response
That is true. But Christian commentators read the nobleman as Christ, who goes away to receive his kingdom and returns as king. On the Church's own reading, the parable shows what Christ will do at his return.
Where it lands — On the Christian reading of the parable, the returning king who slays his enemies is Christ.
Perspectives
Mainstream Christian
God is love, and He sent His Son to save the world, not to condemn it. Christians also believe in the final judgement. But they see God's love shown above all in the gift of His Son.
1 John 4:8 says that God is love.
Rebuttal
Islam agrees that God (﷾) is loving: one of His names is al-Wadud, the Loving. But love does not rule out judgement. The New Testament that says God (﷾) is love also pictures Jesus returning in flaming fire.
John 3:17 says God sent His Son not to condemn the world but to save it.
Rebuttal
That verse speaks of why he came. The same Gospel says the Father has given all judgement to the Son. In Matthew, Jesus himself sends those on his left into everlasting fire.
Christians hold that God's love is shown above all in giving His Son.
Rebuttal
In Islam, God's (﷾) love is shown in His mercy, which needs no gift of a son. The Qur'an says His mercy extends to all things. The Prophet (ﷺ) said Allah (﷾) is more merciful to His servants than a mother to her child.
The Islamic perspective
Allah (﷾) is merciful and just, and His mercy is the greater, as the Prophet (ﷺ) taught. The New Testament itself pictures Jesus returning as judge, in fire and war. So it does not teach a Jesus who is only love.
Revelation pictures the rider called the Word of God judging and making war, in a robe dipped in blood.
Second Thessalonians describes the Lord Jesus revealed in flaming fire, taking vengeance.
In Matthew, Jesus sends those on his left into everlasting fire. John says all judgement is committed to the Son.
On the Christian's own critical Greek text of Jude 5, Christians must hold that Jesus destroyed the unbelievers after the Exodus. So they cannot keep him apart from the Old Testament's punishments.
Suppose Jesus is God, and the same yesterday, today and for ever. Then he is also the Lord who commanded the Old Testament's wars.
The Qur'an teaches mercy and justice together, and the Prophet (ﷺ) said Allah's (﷾) mercy prevails over His anger.
Islam teaches that Jesus will return and judge justly.