To put it bluntly, who gives a rats a** if Europe doesn't like us? I sure as hell don't.
This is possible. But if you take a look at the emotional reaction of your compatriots it is indeed not so that Europe is irrelevant to them. The more they say it the more they give proof to the opposite. Europe and America have too many ties to be irrelevant to each other. Most Americans are of European heritage i.e.. Furthermore the EU is still one of the biggest economical powers on this planet - even with its socialist leadership.