Basically, if he's bluffy, as he is, I call. If he's not, I fold. He's bluffy, so I think your hand is good to go. I make the call against that player.
Honestly, given my observations concerning the psychology of this kind of player, I don't think he moves in here on KQ or TT, and, aside from the fact that I doubt he's minimum raising AA or JJ, those two hands are extremely unlikely given your own holdings and the board. If he does beat you, I think he'll turn over TT rather than KQ, but I'll be interested in hearing the results...
