your thought process is on the right line IMO but as it was suggested,when you called his reraise,what were you hoping to flop?
you reasoned that you folded cuz the raise meant AA,KK,QQ or AK and you could only chop with AK ,but you knew all of this before you called the raised ,so what were you hoping to flop?
if his table image and the way he has been playing made you narrow his reraising hands that much then you should have folded preflop...