I think I'm calling. I make sure never to underestimate even reasonable players' propensity to stack themselves in hilarious ways with AAxx in this game. Annoying when you lose an almost double stack if he has AAJJ, oh well.....
With your KK, quad out and backdoor flush draw you probably have about 40-50 bucks of equity in this hand even if MP has a higher set, which is certainly a consideration.