Short answer

No. That is a theory about where belief came from, and where a belief came from cannot show that it is false. David Hume traced the first gods to people's hopes and fears. Ludwig Feuerbach called God human nature projected outward. Sigmund Freud called belief a wish for a protecting father. Today some researchers say the mind is quick to sense agents and purpose. Suppose the mind does lean that way. Our eyes evolved too, and they still see what is there. Freud himself wrote that an illusion, in his sense, is not necessarily an error. So the question goes back to the reasons, and they do not rest on fear. Islam teaches that people are born with a leaning towards God (﷾), which upbringing can bend. The Qur'an then calls them to reason their way to the One God (﷾).

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