Why would you have an EU passport? And how did you get it?
Anyhoo, since you are talking my language, let me enlighten you about my Europe. Europe has already become what America is becoming. It started with the Cold War over there. Eventually their politicians sold their countries for oil in a deal with Saudi Arabia that would bring down their oil prices. The exchange was simple:allow migration from "certain" countries and get them jobs and oil prices would come down.
Now since Europe recieved propaganda about American injustices, and during the Cold War would protest American percieved injustices, they would seem like hypocrits if they stooped to your level.
Go ahead and go to Europe. Chances are you would achieve the same thing with a US passport.