Sure, right now shopping in the United States is a real bargain in many cases. Clothing especially - only a week ago (when I was still in Columbus) I was able to buy clothes for prices which I wouldn't even get second-hand for the same price here in Germany (though to my surprise, food costs about the same, despite the favorable exchange rate).
But I think that at least the more educated Europeans realize that the United States have a lot of culture to offer. Sure, their history doesn't go as far back as ours. But they have culturally dominated the world for much of the 20th century, and that kind of stuff just doesn't go away overnight.
Though it's true that the world is slowly (but not rapidly) shifting to a post-American stage. Hey, Europe is no longer the center of the world, so it's not surprising that the same is happening to the USA as well, almost a century later. Eventually China will peak as well. It's just the way of the world that no global dominance lasts forever...