Reply #6: They exhibit classic signs of

[laconicsax]

mental illness. If you challenge the fantasy-world that right-wingers live in, they get belligerent and insist that you're wrong. If you present proof that they're wrong, they get more belligerent and stop listening to you. Even if you can convince someone like that that they may be wrong, they'll never admit it, and any proof you show them is either 'biased,' 'untrustworthy,' or fake.

I had numerous arguments with an idiot RW Xtian about various topics and got him to at least consider that some of his specifics were off by feigning ignorance and using the line "That doesn't sound quite right" or by pretending to agree with him but to a lesser extent with "I've heard about that, but I don't think that it's quite like that." I got him to check out his facts and he came back to me the next day claiming that the sources he found that agreed with me were so wrong about a lot of things (some of these sources included encyclopedias) that he couldn't put any trust in what they said about the topic we were discussing. I gave up.

Direct answers to your questions:
"Don't they know the American government, not the people, are hated in most of the world" Nope.
"Do they ever look at surveys of world opinion?" Nope, can't trust them.
"Do they ever talk to people who travel abroad?" Yes, but only people who are stereotypical asshole tourists.