To TJ or Not To TJ

What is there to do in Tijuana if you are interested neither in drinking nor in spending an inordinate amount of time at a low-price strip club?

Dave says he's thinking of going across the border this evening, and (for obvious reasons) wants to go tag-team with someone. But by the same token, I'm not terribly certain what the appeal would be for me, other than having never been to Tijuana (or anywhere in Mexico for that matter) before.

I just have this vision of it being like a certain day-trip the wife and I took to Paris, where we were there ten minutes, and then rebooked our train fare back and went back to London on (literally) the same train we arrived on.

So what does someone who doesn't drink or really get into the rampant strip-club carousing thing do in TJ?