How do you interpret a stupidly big reraise allin?

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Because you can get more action when you have KK/AA and are only getting called by a better hand when you have TT/JJ/QQ/AK.

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it's hard to get more action than all-in preflop with a dominating hand.

KK is a great hand to push here. if you think he might call, by all means, push AA too. pushing AK sometimes is fine (definitely can't do it every time though).

if you get no callers on your push you should definitely show AA or KK. when it gets down to the end and youre pushing every 6th hand you want it in the back of your opponents' minds that you play this "crazy" with your monsters too.

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This is a terrible analysis. You're completely ignoring calling frequency. We need to max our expected gain here, not our max gain when he does call. Just because he "occasionally" calls with a dominated hand when we have AA doesn't make pushing the right move. Based on your thinking, why don't we push AA everytime we are dealt it in a 1000BB deep cash game?