But fair's fair, I haven't personally been at any such demonstrations - but I'll bet you haven't been at any knife fights, either.
As to the media - after 25 years of marriage to a Hungarian, and now a year living in Budapest, my Hungarian still sucks. I can keep up my end of a conversation if I've had enough sleep and I can read text fine, but I usually have to ask my wife what any given news story is about. Most of my exposure to current events consists of her watching the news while I'm finishing up one job or another on the laptop. So I'm not 100% up to speed on detail.
The media here honestly seems less slanted than in the States, but that is a really vaguely anecdotal judgement. It would be nice if a study were actually possible, but such is the nature of media that it isn't, really.