I was thinking the same thing.Ppl, read!
To answer the OP's question, 70% or higher isopropyl alchohol rubbed on with a soft cloth (like an old sock) will remove the outer layers of the "soft touch" paint, effectively polishing out the scratches. The alcohol is not strong enough to actually remove all of the paint, but will help in scratch removal.
For removing the paint, try DOT3 or DOT4 brake fluid. It's plastic safe but will strip paint like a mofrapie. Be sure to remove the plastic pieces you want to strip from the vehicle. DO NOT USE CHEMICALS THAT REMOVE/THIN PAINT INSIDE THE CAR OR ANYWHERE NEAR THE CAR FOR THAT MATTER. Also, experiment on a piece of plastic that is inconspicuous and easily removable and cheap to replace if you mess it up. A piece such as the flower vase trim piece would be good.