You have got that the wrong way around, carburettor cleaner is less aggressive than brake cleaner. Brake cleaner contains added solvents for more bite and it will most certainly strip paint, I use it to clean out 2-K epoxy paints that have hardened from my paint guns.

Lighter fluid is the way to go for starters, it should be completely safe on nearly all paints, then you can step up to the more aggressive cleaner if you need it.