I have been out of the country 3-6 times a year, mostly for work, for the past 20+ years. I was in Poland and Germany two weeks ago. Over the years I've visited most of the western European countries (Spain, UK, Ireland, Germany, France, Belgium, Denmark, Sweden, Finland, Poland - I am sure I've missed a couple more). Sweden is by my far my favorite, probably followed by Denmark. I've probably been to Sweden close to 20 times.
In all my travels the only places I've had problems as an American are Paris (probably my least favorite city in Europe) and Japan. In Japan I think the language barrier was the primary problem and it can be very hard to find someone who can help you. In Paris I had a woman at the ticket booth in the subway take great pleasure watching us struggle to buy a ticket.
When I was going to Sweden a frequently, it didn't seem like many Americans were visiting so the Swedes weren't annoyed with Americans like you hear about in some places.
I never had co-workers or other people I encounter ask much about American politics until the most recent election. That is new in the last two years. Prior to that, most questions were about pretty mundane stuff like schools, shopping, California (due to American TV), and Las Vegas. People do ask about guns, that topic has come up for as long as I can remember. Some people have the impression that everyone in the US carries a gun.
Mostly people want to know what it is like to live in the US. Do you have a car? Do you own a house? In a lot of countries the concept of owning a house is a completely foreign concept. When I was in Poland two weeks ago a co-worker from Sweden was explaining the 100 year mortgage concept where families pass the mortgage down from generation to generation. It takes some families 4-5 generations to pay off a house. Some families never will. Some cannot fathom owning more than one car, much less 3-4.
If you have a chance to visit Europe - go. And don't go to to the UK. Go some place where English isn't the primary language. When people ask me I recommend the Scandinavian countries in the summer months - they are a blast. The Nordic people have a short summer so they take advantage of it. I love Spain and would love to go back again, unfortunately work never takes me there.
In my opinion, European cities are best seen on foot and public transportation. Walking through cities or churches that were built more than 1000 years ago is pretty amazing. There is nothing like it in the US. I walked the full length of the
Roman aqueduct in Segovia two years ago wen I was in Spain. It was constructed 2000 years ago and is still standing.
European rail service is incredibly easy to use and goes everywhere. And it runs on time. Unless the workers are on strike in France which they seem to do randomly. Then you sit for a while.
And the Frankfort airport is a giant PITA.