It's not the immigration flow that is unique, but the 1) absence, outside of museums and reservations, of a national identity preceding the immigration of vastly different groups and 2) the fact that this nation was founded - settled by immigrants who killed off the natives almost entirely - and founded only a few hundred years ago. So for the most part, being American means being from somewhere else, by definition. Whereas you can be 10th generation French and it means being French but you can be pro-immigration and eat ethnic food but when people ask you "What are you?" you will say "French." An American, when asked that, will say, "Irish, German, Italian, Mexican, Chinese, etc etc." Does that make sense?
We're not the only country of immigrants. We're the only country with basically no native population. Not left in tact, act any rate. "Pretending that you already know the answer when you don't is not actually very helpful." ~Migeru.
To get all idealistic, I wish people would start thinking of themselves as human rather than as some sub-identity, because all this cultural badgering has been a fantastically successful tool for the elites to manipulate the masses for millenia.
you are the media you consume.