Acetone WILL work (and very well I might add) on Monokote. But I would avoid using it like "No Heat" (where you wet the covering and apply it) as it is VERY aggressive to the adhesive while wet.

However, if you have your trim in place (Either with heat or windex or whatever) just wiping the edges with acetone (On a rag or Q-Tip) will activate the adhesive along those edges and really stick them down.