Earlier quoted context omitted.
> It's my personal opinion that when we see such a discongreguity that we should perhaps choose other words. Not really. Then we'd be changing terms established for centuries, that most people understand in their two contexts (geographical and cultural), with some new words we'd have to explain every time we use them -- so making things worse.
If I contrasted indigenous Americans with "European" culture rather than a "western" one, you would completely understand the meaning and it wouldn't be a big deal.
I wouldn't know if you mean "European culture" in the sense of something unique continental European (the way Europeans have unique cultural traits different from US traits, e.g. analytical vs continental philosophy), or the shared western culture Europeans and US Americans, and Australians, etc have?