As an American-Swede I think your feeling is way off..
Sure, you get judged from your actions, but that's what you get in Sweden too.
Americans, including myself, are generally really proud of their heritage because USA is no nation-state, like the European countries are.
Go watch an episode of that SVT-production where Americans get to seek out their roots in Sweden and you'll see how much history and heritage means to these individuals.
Know thy history, know thyself, is something I heard a lot as a kid growing up in southern Cali.
It doesn't get any harder than generalizing (
Or search the internet - just to find the same answer).
White skin, all sorts of bright eyes, and all sorts of bright hair.
Anyone can be a Swedish citizen, there is however a great deal of difference in citizenship and ethnicity as Nordic pointed out.
Comparing USA to Europe concerning this is pretty worthless by the way since Europe was, and still is made up by nation-states. I.e. pretty much 100% of the population look the same, have the same culture, and so on...
The US on the other hand was formed by people from all over the world, and have had a highly diverse population from day one.
Whereas Sweden from day one was made up of pretty much only Swedes.