I'll come back and read those links when I have more time

This one depends very much on your metagame. If people mostly only 4bet with KK and AA as I'd guess then you have an easy fold.
The Limp/4Bet line in particular is something people love to do with AA. He probably knows that but I'd give him credit for it (and make a note to keep an eye out for similar moves from him -if he does it a lot you can call one ..though better if you can see someone else do it).

You are getting Pot odds of better than 2:1 with another 3 for the flop so a call is not totally horrible but if you can only trust a flush or a straight you're going to be making tough decisions the whole way.

If he's gone straight to a shove I'd feel much happier calling simply because I see a lot of people shove preflop with much weaker hands.


Usual Caveat: I don't play your tables so my assumptions may be wrong: if your game is aggressively looser and/or bluffier then you might well miss a lot of value by folding here.
(I'm also not that great a player but you can judge my arguments on their own merits -and if I'm wrong at least I might learn something when someone puts me right ..I think I do better evaluating these hands than I often do playing them)