My sister has a big ol byb pit... he is the biggest baby I've ever seen.. I trusted him with my daughter as an infant, and my tiny Kizzie now.. It's not the dogs fault.. Just like many breeds, they can become aggressive if people don't socialize them and pay attention to them.. My sisters dog, and several of her friends who also have pits have never ever even nipped at a human.. Yet my pekingese who was properly socialized as a pup would snap at and bite people when she was irritated.. I've seen a LOT of chihuahuas who are vicious little dogs.. As a rule my daughter is not allowed to approach anyone with a chihuahua, I'm more worried about her getting bit by one of those than a Pit in my area..
Though in my area we do have some small state regulations, it costs $300 a year to register an unaltered bully breed, where as my puppy was only $75. I love the breed but I know I don't have the time an energy to take care of one as they require a LOT of exercise and clean up lol.. I would support holding dog owners responsible from the start, perhaps requiring good citizen training or something for large breed dogs(not just bully breeds but all the large breeds need extra training and love to be safe happy pets) to be registered (unregistered is not allowed in parks, public places, or the lake) I think this would kill two birds with one stone, get the dogs trained requires some amount of socialization and control so they are not likely to be a danger to anyone, but it would also help keep so many large breeds out of shelters as many of them are surrendered because they are unruly or out of control.
Also, in my area animal control goes after allegations of dog fighting seriously as well.. usually responding within hours of a claim that someone is fighting dogs.
Dog ownership is a big responsibility.. large breed dogs are a HUGE responsibility..