I'd fold on the flop unless he's known as the type of player to bluff a lot.

Just calling preflop is the right play. Some people think you should reraise preflop with J-J, but I think this is a big mistake. Granted you will find out if he has A-A or K-K, but so what? He'll likely just call with Q-Q, and so you aren't really gaining the information you want, and even if you do find out he doesn't have A-A or K-K, what do you do when an A, K or Q flops (which will happen fairly often)? Suddenly the information you gained is useless, and now you're faced with some difficult decisions as to how you play your hand.