We also didn't eat modern wheat and it's processed products (bread, bagels, breakfast cereals, etc), nor did we dress up the old variants of wheat in so many processing steps nor consume it under a pile of sugar. And when we did eat primarily wheat/grains, we got short and fat, bad bones and bad teeth, and other nastiness.
This is why I like the idea of the paleolithic model of nutrition, not a blind devotion to "paleo". Some neolithic foods have little impact on some people - I can eat cheese and feel great, for example.
Eat meat and vegetables, nuts and seeds, little fruit/starch, no sugar/wheat/industrial oils.