My comment related to the expanded discussion showing commonality between Aztec, Mayan and Incan beliefs. Since the last documented Mayan architecture was completed around 823AD, and the Incas died out in the 1400's, surely exposure to Muslim adventurers is possible... though unlikely?
"surely exposure to Muslim adventurers is possible... though unlikely?"
There also appears to be commonality with Judeo-Christian belief, to a much greater degree than Muslim, but the three, Judaism, Christianity and Islam, do have common early origins. Plus, there are aspects showing some commonality with the Egyptians as well. Also, one of the names for this "god" was Votan, which might seem to throw a pre-Christian, Northern European influence into the mix (Wotan).
It's very tempting to say that these beliefs did not arise completely independently of one another, but I just don't see any practicable way to explain such a thing.
Historical Review: Megadrought and Megadeath In 16th Century Mexico (Hemorrhagic Fever)