I am aware that Native Americans originally came from East Asia, but it's their Religious similarities that interest me. Native American religion seems to share many resemblances with Buddhism. Is there anything to back this up, or is it just sort of a coincidence in their similarity?

Of course, there are also a lot of other similarities, but this is the one that interests me. The Native Americans migrated so long ago, and while things like appearance don't change with genetics, I had imagined that religion would.