the theory was that there was a race of people who came to the Mexico region pre-Cortez. Which is why Montezuma was not suprised by Cortez' arrival. Supposedly they had moved on (crossing to the Pacific)to Ecuador/Peru. From there, Heyerdahl proved that men on balsa rafts could transit to the south pacific. Early explorers to Polynesia reported some of the people were fair skinned with blonde or red hair.
that is the connection.