I think it's more likely that the idea of a god or gods originated with humans who consumed psychoactive plants, fungus, and/or ergot-infected grain

The original nature religions and the like, sure.

Inherently authoritarian ones like Christianity and the other monotheistic ones, though? Definitely the invention of people who wanted to control other people.

There's presumably wasn't a lot of drugs that make you overly concerned with obedience and imposing your will on others available way back then.