Native culture is dead in the modern day. Nuclear apocalypse, with its horrific environmental devastation, makes it less likely to be revived, not more. The tribes of the Zion bared a resemblance to Native cultures because the area they inhabited was an oddity, in that it did not experience significant damage as a result of the Great War. The LEAST likely result of the Great War is for a society dependent on the environment it eradicated to spring up. 

Landlocked countries with no lakes or rivers don't attract sailors and fishermen. Flat plains don't attract mountain climbers. Nuclear wastelands devoid of most of their original plant and animal life don't encourage the formation of societies dependent on plants and animals.