No need to ban pit bulls, just pass a law that the owner is responsible for their dogs actions as if they had committed the act with their own hands, or... teeth.
Good place to start, but how DOES one make restitution for their dog, any dog to someone after their child was torn to bits?
The goal is that once the cowards who own vicious dogs know that they will go to prison, there will be far fewer children torn to bits.
There are too many irresponsible dog owners. And, too many that use vicious dogs as a vicarious extension of their own evil desires.
They've got to pay the price.