I got the molding peeled off today. The clips seem to be merely to hold it straight and are not much of a fastener. I know a new door is technically what I should do but I want to use this as my excuse to learn a little auto paint and body. If I screw it up then I'll go with a new door but for now this is my project.
Here are some pictures of what I am dealing with.
This is right after I peeled the molding off
This is after I pulled away all of the bubbling paint
Here is the molding piece in case anyone else has the same questions I did
I'll start a new thread to document the repair