Vinylex is your answer. GREAT product for a great price. It can be used on any of the plastic on your interior and is the fountain of youth for vinyl surfaces.
You can pick up Vinylex at Autozone or Oreily
It actually adds moisture to the surface instead of pulling it out. Armor-all pulls the precious oils from inside the plastics and vinyl and let's it sit on the surface where it dries up. Vinylex ADDS moisture and oil to the surface and increases the longevity of your interior.
Hope this helps!