What makes things difficult is that the internet has expanded our ability to talk to people all over the world, and of course everyone believes his or her own country to be the best! Well, except for our current president, that is.

He keeps apologizing for what we are, much to the dismay and disgust of many of his subjects…erm…fellow citizens…
Our situation here in the US is very different from (or different to) yours in Europe in general, and different from each country within the EU in particular. We have a completely different history, a much different national character, and very different institutions. So your viewpoints do not apply to us and vice versa. It may sound as if we are trying to come off as superior, but what we are doing is proclaiming that we are NOT you, and that we have a right to have our own way of doing things.
For decades now, there is a subset of our society that has idolized all things European, trying to force your institutions and values upon us, maybe in a similar way that we have tried to bring our form of democracy to other nations around the world. Many of us get our fur up on end when we are told that the European way is the best way for us. Our ancestors left Europe and set out for a new land, so they could forge their own path and worship in the way that was meaningful to them. That individualism and pioneer spirit is still here, since we are such a young country compared with you in Europe.
Hey, if we tried to impose our values and institutions on you, you’d probably get your back up as well! What if a group of Brits were constantly going on and on about American football, putting down your football and saying you should change to pointy-ended football, that it really is MUCH more of an enlightened and civilized sport? I’m sure you’d resist that, simply because you have your own sport and ours doesn’t translate very well across the pond!
Yes, we’re brash, bold, over-friendly, confident, and too cheerful in general. We’ve given you the worst of what we have to offer (McDonald’s) but also shared some of what has worked so well for us (entrepreneurism). Can’t we all just get along?