Foxbody Trim... Best Adhesive?

anytime you think adhesives, think 3M first...........
Tmoss is pretty much correct there. If the tape is lifting off of the moulding, 3M has an adhesion promoter wipe that will clean and prep it so the tape sticks like it should.

If the mouldings were bent out of wack before, they like to return to that wacked stage. Make sure you have them flat before putting tape back on them, and really clean for the adhesive on the tape.

Use heat to flatten them, but be careful using something like a heat gun. They'll burn the paint if you're not careful.