To elaborate a little on what DC said, think about what types of worse hands might call a shove. We only have a pair+FD, not a very strong hand to start with. So he can either call with worse pairs or worse FD's. AJ is the next worse A, but that makes 2 pair. So he would have to be calling a shove on this board with AT or worse, not very likely at all. We have the Qh and the Jh is on the board, so in order for him to be calling with a worse FD he's have to be calling with a Th or worse, again not very likely.

I think flatting and seeing what he does on turn is much better (he bets pot, he bets 1/4 pot, he insta ships, etc...)

Also, I think in general in these types of spots when you have showdown value you should be less inclined to raise/shove because a lot of the time you have the best hand right now. When you have just a strong draw then you would be more inclined to raise/shove because you have Q high (or something similar) and can fold out hands better than yours.