“In 400 years here in America with our temperate climate, the peoples from tropical areas have not changed.”
You are comparing apples to oranges. Those people in America are not starting from a pre-flood genome and then adapting, so the starting point is different, and the changes that would need to occur in the genome are also different. We also have plenty of interbreeding in America to muddy the waters, so I doubt any such subtle changes over time would be easily distinguishable from the effects of interbreeding on the population.
“God has had to have saved them from before Noah somehow.”
I think God would know if He did, but instead, God told us He only saved eight souls. I’m sorry, but I’m going to have to believe God over you in this matter.
I would think interbreeding would hasten everyone to be more similar. That has not happened to a great degree.