Door Vapor Barrier
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Since doing the repair on the left (Beetle door), I have found that Tyvek(R) house wrap makes great vapor barrier replacement (as seen above). I even taped it with the Tyvek(R) brand construction tape. The house wrap/tape procedure is faster and simpler, and probably better lasting than this procedure. The only hitch is that house wrap is only sold in huge rolls.

This procedure uses vinyl sheet that I bought at a fabric store.
Replacing the plastic sheet that acts as a vapor shield inside the door. I'm getting pretty good at this. One thing to avoid: do not use butyl rubber. This stuff stays gooey forever. Bad idea for this particular repair.
I learned a good trick to remove those grommets that the door panel anchors push into. Just shove the grommets into the hole with a screwdriver. The grommets seemed undamaged. Anything else I tried destroyed the grommets.
A closer look at vinyl caulked to the door frame. The black things are the rubber grommets. They seem to be easiest to remove by pushing them inside the door with a Philips screwdriver.