Breed specific legislation has been demonstrated to be a waste of taxpayer money. Many jurisdictions are backing off from it after discovering just how much it increases their animal control budget.
The legislation often ends up covering American Staffordshire Terriers (which used to be called 'nanny dogs' for how good they are with children).
Also, properly bred fighting dogs are not, not, NOT human-aggressive - the handler has to be able to pull them out of the ring without being bitten. Pit bulls *can* be more aggressive towards other dogs and need to be carefully socialized...but all dogs need to be socialized and most dogs would benefit from an obedience class or two. As would their owners.
There are much better ways of dealing with the matter - dealing with dogs (of whatever breed) that are consistently aggressive properly, for example. Making it easier for people to take their dogs to classes helps a lot, too.
Many 'pit bull' attacks aren't pit bulls at all (the media tends to turn any dog that attacks somebody into a 'pit bull'. Those that are are often poorly bred, unsocialized crosses that idiots think make good guard dogs. (Pit bulls do NOT make good protection dogs and pit bull crosses that end up with human aggression and pit bull tenacity are a problem).