I don't know that you're going to find what you're looking for here. You intentionally put this dog in danger-if I'm understanding you correctly. Your dog is illegal where you live, yet you brought him in anyway?
Can you show us what exactly an American Red Nose looks like? Because "red nose" is just that-a red nose. It isn't a specific breed of dog or any sort of lineage/blood line that falls under one of the breeds that fall under the umbrella term "Pit Bull".
Additionally, the "alpha" theory is mostly frowned upon here. I'm sure you believe in being the pack leader, dominance and all of that Cesar Millan crap too, huh?
What is the advice you're looking for? Perhaps someone in your area can point you in the right direction. We have a couple members here who live in Canada-some in Ontario. They're good people so even though they'd likely be mad at you for the situation you've put your dog in, they'll probably help you as best they can.