Thanks for clarifying. The risk you run with a solvent approach is that the lacquer thinner/etc. might damage the plastic (and you have to be careful with the stuff, keeping off the rest of the car).
It sounds like a pretty big job no matter how you approach it, can't say if which way I'd go. Sorry to be of little help after all
Now if you can figure out how to pull the moldings off the car, then the solvent approach would make this *much* easier. I wouldn't want to use thinner on such surfaces very often, but it just might be the ticket for the pait removal.