A caramel wheel might be the answer. I have had some success with these in the days I owed a panel shop. My son used one on his car, lets just say it doesn't work well on plastic.
I would usually use a plastic welder heat gun with a fine directed nozzle. But you must be extremely careful. It is slow laborious work and requires patiences. Using a steam gun works fine for removing tint on glass and I would think should work just as well on paint. Don't expect the stripes to come off in large strips. Sounds like the person who attempted on your door got an edge and pulled, removing much more then anticipated.
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