Update,
I spend a lot of time this weekend finding window trim pieces for the STE and decided to tackle this same job on the International. Thank you to everyone who commented and helped out!
I thought I would practice on this 95 CS coupe I found in my local yard. If I messed something up or broke a piece of trim, it wouldn't have been too big of a deal. Turns out, it was pretty easy to remove all the pieces. Now I have two sets of perfect window trim to replace the bad ones on the 91 car.
So I just used a small flat screwdriver and slowly started to pry the trim away from the body. There are metal clips that hold it to the body of these cars and it took me about 10 mins on each piece as I took my time and made sure not to damage or bend them. I also removed the passenger side lower beltline trim as the window was broken and learned how to get them out. I haven't removed the upper front door window pieces as you have to get the windows down in order to remove them. The junkyard car unfortunately has bad ones on each door so I didn't mess with it.
Getting back to the front door lower beltline pieces, it's the same on the STE. You have to remove part of the door panel and get the sideview mirrors off. This will reveal two screws that you need to take out for this piece of trim. Same for the back of the door, take off the plastic door hinge cover on the inside of the door frame to expose the screw that holds on the back of the trim. Then I used a non marring tool to tap it out and over the pinch weld on the door. Not too bad!