Also, Moon is relevant in Islam, as a calendar and timekeeping, nothing to be worshipped.
Also, All Monotheistic Religions have had fasting (the 3 big ones that survived so far) but again, the worst enemy of the people is their own selves and not the devil, and thus they modified what was given to them.
We know for a fact that this is false. For example, the Egyptians were building the pyramids and worshipping their gods at least a thousand year before any known monotheistic religion. The native people of Australia have even older polytheistic religions.