TP vs shortstack - correct flop push?

[parre]

5-10 SEK live game at my local card club. I have around 1500, villain around 4-500. Villain is semi-drunk and not too tight. A few hands earlier, I bluffed villain out of a big pot on an Axxx-board after calling the flop and check-raising allin when he bet half pot on the turn because of a strong read that he was weak (I was right - he folded KK).

I raise PF to 40 or so with JTs. Villain calls. My table image is loose-maniacal, I kind of have that image permanently because of some drunk and stupid playing on other days. I do love this image, because people don't respect my raises and I get called a lot and bluffed a lot with [censored] hands, for instance I got an AI re-reraise called by QT (no diamonds) on a Qxx board with three diamonds when I held KQ (no diamonds).

The flop comes Jxx with two clubs, I have no clubs. Villain bets 100 and has 300 left, I put him all-in.

Correct play? I feel my TP might be good, though I think that he would not fold a better jack.