He'd need a lot of cash here because hardly any of our players are what you'd typically call Mourinho players. He'd flog Arteta and Ramsey in an instant and buy 2 solid all action centre mids and build from there. Gervais, Arshavin and Walnut will be told to sort their lives out or they'll be gone as well.
The reason I wouldn't mind him is because he is extremely ruthless, basically if you're not with him, you're against him. Some of our players are in need of some tough love and he'd certainly shake things up. He'd make us hard to beat and that is something Wenger has failed miserably at.
Of course the off putting thing is that he's a massive **** with an ego guranteed to land the club in hot water. I'm not even sure how long he'd stay as well. I fully expect him to win the league with Madrid this year, then do his attention seeking ritual of throwing his medal into the crowd so everyone starts reading into it and talking about his next move.