I think that you are a little off in your thinking that most players will 4-bet their AA/KK back at you. I usually don't. I will usually let them think that they have the lead in the hand so that they bet the flop, which usually leads to AI quite easily.

On another note, I think that you are losing a lot of value by playing your AK so aggressively. You are going to be folding out almost all other aces (except AA of course) and that is not a good thing. These are hands that you have dominated and that can potentially give you a lot of money.

unless of course, as has been stated, this type of play gives you a maniac image (or you already have one) which allows you to be paid more on your monsters and has people calling your 4-bets with AQ more often.

It almost seems like you would be better off taking a different hand as your light 4-betting hand, since you arent really playing it for showdown value, but as a type of semibluff. You might want to use a hand like 66. It has a decent amount of equity against the range you have given (JJ/AQ+) and only needs 1 card to make it a much stronger hand.
Plus it is much more likely to get paid off if you hit. Not too many QQ hands are going to be happy about putting in more on a K or A high flop after the preflop action.