Forget the brake fluid.
Why do people still think this is a good way of stripping paint from plastic? Yes, it will remove paint- but it's not plastic safe. You may get lucky, or you may get a nasty surprise. Why risk it?
Use automotive degreaser (Castrol Super Clean, Purple Power, Simple Green), or 99% isopropyl alcohol. Safe, cheap (especially the alcohol), effective, and likely won't take years off your life.
Your choice.