There would be a ton of local variety since a large number of different tribes and societies had varying access to local fauna and game, plus trade. Think of the variety we have from Canada to Argentina and that is likely a comparable range to the wildly different native populations. Food near the great lakes would be completely different from food in the tropics and completely different from the foods in the mountains of the southern continent with a ton of variety in between.

Kind of like the massive variety in the continent of Africa.