20-40 Pocket Jacks hand

[Noo Yawk]

Elysium, my man!
If I thought that I was beat by a bigger pair or an overcard shouldn't I have folded pre-flop? The fact is, I thought before and still do during the hand, that I'm ahead, especially when the second Ace hits the turn and MP bets right into me. If he has an Ace isn't a thinking player going to go for the check raise and try to trap both his opponents? Especially if he knows I'm very likely to bet out the turn if checked to?
Isn't it worth raising when bet into me if I think I can get him to possibly lay down K's. Q's or a smaller Ace? I especially need to move UTG of some silly Q or K right?