AA-KK is in no way very rare here, especially AA. i don't know what stakes you play, but i've watched enough medium stakes as well as read the medium stakes forums on 2+2 to know that AA loves to just smoothcall here. why not? it's easy as pie to play AA out of position when stacks are shallow compared to the pot. you just assume you have the best hand on most flops, get the money in, often stack TP. yes, we might allow ourselves to get outdrawn, but it's a cash game, not a tournament. you play for every edge you can get, not for survival. AA in a 3 or 4-way pot still has lots of $ edge.
the alternative is rereraising out of position after a raise and a reraise, which exudes tons of strength and often kills your action. of course you should reraise here with AA sometimes to cover up for the times when you do it with a less powerful hand. but to think that, at these stakes, AA (and sometimes KK) isnt smoothcalling a decent amount of the time is wrong.
although i agree i don't like it much with JJ, and it's far less likely, but still possible.
but KQ?! that's just fishing for hands we can beat. there was no read included that villain is a completely horrible player. if he were, hero probably would have called. he never has KQ here (or QJ or 66 for that matter), based on preflop, and really really rarely has AQ. only draw that would be even possible would be AKs and a) this is also fairly unlikely for reasons i mentioned in my last post, and b) for all reasonable purposes, this is our best case scenario and we're not that much of a favorite. every other reasonable holding has us crushed