Keep some things in mind. As RR pointed out, a very small % actually watch Bill O'Reilly. However there are indeed a very, very vocal group that pushes an ideology similar to his. He who yells loudest isn't right, but they are often the most heard. That's what you're finding carried across the Atlantic.
It would be like Americans looking at DSK and assuming half of the French population of men are probably rapists.
Also understand that the world has been divvied up into sound bites much of the time. The news often works that way, like everyone is ADD. Watch a news package from the days of Walter Cronkrite - they were often several minutes long, going into good details, showing good analysis. The same package today would be about 45 seconds. I imagine Europe isn't much different. The only thing with Fox or O'Reilly Factor (or a show like Olberman for that matter) is the bias in the tone.