Hmm.. you folks have given me good things to google!
Turns out, my van comes stock with front sway bars (but not rear) and they are famous for breaking. Tomorrow, I will attempt to locate mine and take a look. Also they have some bushings that come in an improved after-market version (as do the bars). Maybe something IS broken.
I have an appointment with my friend to get the van off its jackstands, go to a scale, try out some different tire pressures, and then go to the suspension shop, all on Weds. I am trying to learn and investigate everything I can before that, since taking it off the jacks is a bother.