It's an open question. For the last 6 years I've refused to set foot in US (and even declined free tickets to a very important tech conference in my field) because of your unpredictable trigger-friendly police [1] and your guantanamo-friendly interviews at border control [2]. I wonder it your unstability could reach me in Europe.
[1] Being a foreigner, I'm not protected by your constitution and the officers haven't sworn to protect and serve me.
[2] I do believe an intent to go to a conference could randomly be recategorized as seeking work, which is illegal, and using a false Facebook name could be recategorized as identity theft. I do believe it's therefore possible to be retained at your border for an undefined amount of time, with no record and no rights to a lawyer. I do believe I'd be upset in this situation and I could end up sentenced for life in your prisons.