The "classic" pit personality is animal-aggressive, very sweet with humans. Training and environment affect both of those, obviously. But as I've said before - our pit mix was well socialized with other dogs when she was young, but we didn't continue classes for her after she "graduated," and that was probably a mistake.
I don't know whether or not constant lifetime reinforcement would've made her good with other animals (other than the other dogs in our household), but as I've said before, she was so gentle with humans that we could - and a couple of times had to - put a hand in her mouth to pull her off another animal. I've been bitten breaking up dogfights, but NOT by her. She was so aware and so good with humans that she wouldn't even bite by accident.
Speed comes from what you put behind you. - Judi Ketteler