I don't think it is like that at all. Bad dogs don't come from good families.
So what constitutes a "good family" then?
Don't get me wrong, I have nothing against pitbulls (other than their looks, they definitely don't appeal to me in that aspect). I just doubt that many of the folks who have dog-related problems consider themselves to be from "bad families". I doubt they expect problems will occur until after the fact. I'd never own one because I have no use for them (I use my dogs for hunting). My in-laws have several pits, and have never had issues with them.
I have lots of experience with dogs, and with training them (and other animals) to a higher level than most (hand and whistle signals, field dogs, falconry-trained field dogs, retrievers and pointers, etc). I've never had issues with any of them, except for one. I still have him (male Jack Russel terrier). He's a damn fine dog, but has a temper like a light-switch. He'll be fine for months, and then go into a 10 minute pissed-off mode for no reason. In those moments, he's definitely capable of hurting someone. He was much worse earlier, and has made great strides over the last 4-5 years, but he still has occasional "episodes". His real issue is with me, because he thinks he should be the top-dog in the house. He never has problems with my wife or kids anymore (although he's tried to assert dominance over my kids in the past), but he still occasionally thinks he can take me.
We're talking about a 13# animal that's definitely the "odd dog" in a string of other dogs that have never had problems. My family hasn't changed, but the dog is different...