With the US, you just get the feeling every time you are at security that they might mistreat you, for no reason. The way the agent looks at you, the way the questioning goes, it's like they suspect you of being a criminal. The only other country where the guy made that atmosphere for me was Cuba.
As for violence when you're in the country, my impression with those statistics is that it's highly localized, wherever you are in the world. There's some neighbourhood that you're not supposed to go to, and if you just stay out, your risk is very low.
Regarding the people you meet, the US is the only place where I get the Jekyll/Hyde vibe. Lots of super friendly people who will be happy to chat with you. But also the feeling that if you get on their wrong side, it will be unpleasant really fast.