Nice to meet you, Regulus. I would say just be glad your magic isn't going all wonky like mine did when I first arrived, but I'd rather not jinx you. I tried to teleport out of here and almost ended up in the pool.
Okay, so, not to sound like a negative Nelly, but I think convincing all the magically inclined people to work together is nearly impossible.
I could conjure you up a broom if you want, and while you could totally fly on it, it still wouldn't get you out of here.