A couple things to consider..

1. How are you sure that they don't have KK or AA? You can't be.. unless you are playing with some absolutely terrible players that will go AI with weak hands but not the 2 powerhouse hands of hold 'em.

2. QQ is a favorite against all hands that aren't KK and AA, and dominates all other hands besides AK.

3. QQ is a favorite vs AK, suited or not, you have the best hand here. Factor in money in the pot already.. blinds, limps, raises/reraises and any calls, and you are getting pretty good odds. 3:2 or 2:1 in these kind of situations are not uncommon.

#1 is the most important point, but in ring games you should theoretically only be making decisions that are +EV. If an opponent pushes with AK, calling with QQ is very clearly +EV. If you can't handle the variance, you are probably playing out of your bankroll.