I wonder if you'd feel the same in Brazil, if you'd say "Everything there was just so Brazilian" when there is no such thing as "Brazilian" without the necessary multi ethnic aspect. It's a country without ethnic enclaves but instead a culture that is very much a mix of all.
You don't have to be exclusively one race to be a unique country. The US just hasn't achieved a blended culture, but it doesn't mean it's not possible.