I have recent experience of messing with the vapour barriers, so here's my two penneth if it helps...
The membranes on my doors were trash. They were all torn up, only stuck down in places (in fact the passenger's side one was only held in place with a couple of pieces of duct tape... wtf!?
Mine were too far gone, so I bought replacements from BMW Sopers Lincoln, they were £140 for a new pair, with the forum discount. I stuck them down with butyl tape (
Amazon) which worked way better than I expected. However before I installed the new ones, I completely cleaned old adhesive and residue using Goo Gone (
Amazon) and a plastic scraper. It took some real elbow grease, but by the time I was done you'd think the doors were fresh out of the factory! I also took the opportunity to grease up the door hinge and window mechanisms as I don't plan on removing those nice new membranes any time soon.
If you want to re-use your existing membranes, for god's sake use a hair drier or heat gun to soften any adhesive before removing them, those membranes tear like wet tissue paper!!