To me, Twitter goes against anything stands for. Twitter is like the wild wild west. I really can't imagine how they would fit in with Apples very polished M.O.

I agree. As soon as Apple bought Twitter people would want to hold Apple liable for some of the more unsavory things that happen on there. Apple will want to nip those complains in the bud quickly, else risk their brand reputation. Quick changes to appease the loud minority would likely overreach, frustrate the majority, and most of the user base just move on to some other service and think less of Apple at the same time. All while they'll be making no money off of it. It's a no win proposition for them.

Recent deal aside, I've long thought that Bloomberg would be a good place for Twitter - they already fund their excellent news services on the back of their financial services products. Twitter would fit well into that and also matches their "real time" approach.