so basically it's gonna attack any animal that you don't own personally.
ahh nice plan there: "Hope".
Sounds like you're an idiot looking to get some other animal or person killed. At least we have this thread as a record should your dog actually kill someone. You've basically said yourself that it's a bomb waiting to go off.
Let's be honest here: most breeds of dog that are worth a damn (something that doesn't fit in a purse, for starters) can have leadership and trust issues regarding any lifeforms outside of its "pack".
That is the very nature of canines. Some naturally get an alpha/pack leader mentality, and while good dog handling should prevent a dog challenging the human leadership, a dog will often want to secure safety and its place within the pack.
Which is to say: the breed of dog doesn't really matter once you get into dealing with other dogs, especially when those other dogs are not under full control by a human. And since many people really aren't good at handling dogs, quite a few loose dogs will basically do whatever they please.
No dog owner can guarantee a strong breed won't have issues responding to other dogs causing problems. If a dog started attacking or showing aggression to a dog, most dogs respond in kind.
And the reality for the American Pit Bull Terrier is that, if they have a good genetic lineage, they are actually terrible guard dogs They are people dogs, and were extensively and carefully bred to not cause issue with humans. They will be loyal to owners, but they shouldn't even show any aggression toward strangers. They may show aggression toward other dogs, but the fact of the matter is, as a historical breed, they are remarkable people-lovers.
That said, it's easy to screw up all the hard work of careful breeding. If you want an APBT, seek out not only a purebred, but one with carefully noted lineage. You can have "purebreds" that, for the last 10 generations, were entirely bad-blood raised for dog fighting and defending drug houses.