Not sure if I worded that right... but believing in the more scientific evolution (ie: not that we were "created", nor that we have a supreme being)... but believing that humans have evolved to be spiritual... and respecting that spirituality for it's own sake, not for the sake of worshipping someone/something, or fear, or "earning" a better afterlife... or anything else.

I mean, isn't that just basic atheism?

Sounds like humanism, which certainly does have its atheistic branch, yep. If you absolutely do not believe in any form of God then yep that'd be atheism. But the added bts about spirituality remind me of humanism.