:: Their prayers would be moot because their moon god does not exist and can do nothing. ::
To the Christian understanding, yes.
Yet, in the Muslim-mind, their god \does\ exist and can effectuate certain evil things.
As well as activate the followers to act accordingly to what the evil the “moon god” has determined to be true.
Muslims have been doing it for centuries. Just got to get them out, as they are incompatible in a free society. Satan always works against good, Islam is just his tool.