It's a difficult situation. The only solution would seem to be to raise awareness of the fact that pit bulls have often been bred and/or raised to accentuate a natural inclination to be aggressive, that they can attack without command or training to do so, and sometimes without apparent provocation.
We don't seem to have a handle on how to see that tendency progressing in dogs not intentionally trained to attack. It's not clear to me that the dogs themselves necessarily have awareness of it. The pits sure don't seem to know how to quit once they fly off the handle, in situations where they were not intentionally trained to attack and have never been known to attack before.
It's a a tragic and more extreme outcome than in the case of border collies or other dogs bred to herd livestock. Those breeds are not necessarily "born to herd" but may naturally at least be more inclined than other dogs to chase and control whatever they see moving. Some of them, after training and while working, will only herd groups of certain animals, but some will also go after anything that moves when they're off duty, apparently just for the merry hell of it. They don't want to hurt it, just to herd it. But then being chased by a herd dog can be pretty unnerving. It's hard to decide to stop moving and turn around when a dog is charging at your butt.
My late bro-in-law had one border collie just couldn't resist trying to indicate he'd like to cut you a new rear pocket in your jeans if you got out of a vehicle and started walking towards the back door of the house. If you turned around and said his name, he'd quit and wag his tail and not resume trying to herd you, but the initial sight of anything moving away from him would trip that call in him to steer a moving critter, by following close and adding some shoulder action or a bit of a nip to suggest a course correction.
Some of his other working dogs weren't like that, and only even went to get the cows when urged to do so. One or two were over-enthusiastic as youngsters and probably freaked the cows out driving them through creeks and brambles on a crow's flight sort of tack to the barn. But they all had that spark waiting to be triggered: "get them!" They loved their work and even their off duty escapades seemed joyful pranks.
But see with pit bulls I'm not sure we know what all might tell that breed "Get them!" I'd never keep one in a house with kids, and I'm not sure I'd share a house with a pit or pit mix that I had not raised as a pup. I can't think of a good reason for me to adopt such a pup either. And I really like dogs, even though most of my pets have been cats.