Ok, the chemical plastic bumper stripper I used carried the "Bulldog" name brand and it is compatible with fiberglass. Again, part of the trick is to neutralize the chemical reaction with a little water once you've got the paint stripped off. In theory, the chemical reaction could continue for some time after the paint is removed.

I've also heard of using oven cleaner but I have not tested this method nor do I know if it's compatible with "plastics".