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I wouldn't get any sort of solvent/stripper (and I think it would take a 'stripper' to cut the old adhesive) near a new paint job. I would mechanically remove.

1) Remove trim
2) Tear off top
3) Mask edges REALLY well with 'safe' tape (3m blue or equiv.)
4) Mask rest of car with plastic
5) DA sand adhesive--careful with those edges!
6) Remask
6) Repaint top (epoxy prime or catalyzed urethane)
7) Re apply Vinyl top.

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IMOP, I wouldn't use a chemical to strip for fear of getting it on the rest of the car. Also, don't know if it would "soak" through tape if you taped the rest of the car. I would make sure the glue has set up, then do what Pacnorthcuda suggested.