I lived overseas for a couple years. I taught at a highschool where the kids where super proud of their cultural heritage (they were apples in a country of oranges). They couldn't understand that I didn't consider myself pink bunny, I had a pink bunny last name, why didn't I call myself a pink bunny?
I explained I was American, didn't matter who my ancestors were, I was proud my country was blend of every culture. I further explained that Americans identify themselves by region and take a lot of pride in that. No region was better or worse, but we each had our on culture that we embraced. I am a from the Pacific Northwest but was raised by Midwest Lutherans, I am the perfect mix of Seattle and Prairie Home Companion (think vegan gluten free hotdish, oh yes, I go there), that is my culture and heritage.