The only problem I can forsee using slicks on 13" wheels is if they have a smaller rolling radius than original, which most slicks do. This will reduce the gearing, which on the strip won't help matters. Personally, I'd try and stay with 14" wheels and slicks to keep the gearing somewhere near right.
Obviously you'll only need a pair for the front, so stick some narrow 4 1/2" x 13" steels on the back with 145/80's pumped up nice and hard.