Maya WERE NOT Shemitic people, bur rather a Hametic one (read KHametic), they SPOKE a Shemitic language, because their progenitors, the Carthaginian/Phoenicians did so. The Quiché-Maya are the direct descendants of the Hivites (read Khwym). That they are the same family, read the discussion of Carthaginian naval power and of the many cultural similarities between the Maya and them in Discovery of Ancient America. The Maya asimilated the historic record of their white-faced "Sacorowach" Tolteca/Hebrew overlords -which record is very similar to Hebrew account- is abundantly clear from their histories.
Mayanologists think Mayan histories took place on their side of the Ocean because they are the first to deny the internal data claimed to be true, within the histories themselves. I put the examples of the clear images of elephants "interpreted" as parrots, macaws, butterflies, rattlesnakes, bats except what they are!