Since this was posted in the KK section I'll move this to KJ General Discussion section for now.
The 2002 Factory service manual may be of some help. http://www.colorado4wheel.com/manuals/Jeep/KJ/2002JeepKJServiceManual.pdf
IDK but a new mirror may be an option. Some are heated and have the wavy heated symbol on the glass.
The removal video from 1A Auto may be of help to others as well here.
Just a thought. You can pick up a brand-new unheated mirror housing for under $25.00 each side.
Google "jeep liberty side mirror" and a page of places to buy them come up. I replaced my non-heated mirrors with heated mirrors for a couple of bucks more than that. The wiring is there, just not used. It works in conjunction with the rear window defroster switch.