Pledge will not hurt the vinyl and it's great stuff. DON'T use Windex, which could eat into any finishing agents that Axiom places on the vinyl. (I can't say for sure whether they use a finish on the vinyl, but why take chances? You definitely should never use Windex or glass cleaner on real wood, since the ammonia can damage the finish coat.)
Pledge is just silicon with some lemon scent and a combo that amounts to wax (even though they claim it's not waxy). When you use it, just do so sparingly and wipe thoroughly. It is designed to clean and shine, and does both well, so long as you wipe it to take off the very mild wax residue.
Incidentally, Pledge and any similar silicon-based wood cleaner works great for removing water rings and blush marks from wood finishes. Just spray it on the mark in excess and let it sit overnight. The silicon separates the liquid out of the finish -- let's it rise out of the finish and evaporate -- which usually is the source of the problem.
Read
Understanding Wood Finishing by Bob Flexner if you want to understand wood finishing and cleaning products in detail.
Birdman