I don't really think it's fair to say the indigenous people were living in the stone age in 1492. They didn't look very sophisticated to the Europeans but they had a lot of agricultural and medicinal knowledge that the Europeans a) did not have [I think they were still bleeding to get rid of "bad humours" or something] and b) had to reinvent much later because they had ignored it and destroyed the people who knew it. Not high-profile stuff, but it was certainly not haphazard chance, either.

Isn't the Bible a collection of myths and memories, too? (We've just had it written down longer). And the Greek and Roman material that forms the basis of so much of European literature? We may not believe in Pyramus and Thisbe but we sure love their story (aka "Romeo and Juliet").

I still use "Native American" if I don't know someone's tribal affiliations (I think of it as being at least less inaccurate than "Indian", since they never had anything to do with India).

I'd be willing to call "America" something else, too. It kind of doesn't have its own name, anyway, since the continents are already North and South America. Kind of silly.