I wouldn't do it. You might be ok, but if you're anything like me, you'll bottle a fresh batch and taste something funky in it and think "hmmm, I wonder if that rinse agent in the dishwarsher is causing my funk". If you're not to choosy about what you drink or don't care how good your beer tastes then I say go for it.
FWIW, I use rinse agent in my dish warsher, and while I don't bottle, I do clean my pint glasses with it and have not residual funk or off flavors from it. Plus it leaves my glasses crisp and clean. Oh, and I still get great head.