TW ICE won't do sh!t for actually removing the polish. Nothing, not IPA, not AIO, not VM or any dressing I've used actually removes the staining.
You need to use a dedicated trim cleaner. Meg's #39 was the only thing that did it for me (it didn't work on a GMC Envoy's door handle material, however), removing years of old dirt/dressing/wax/etc. I hear GR-40 from TOL is nice, too.