we're restoring an '81 vanagon that's been sitting for years.

The plastic sheeting that's glued onto the interior side panels (and
the 'ceiling' and inside the cupboards) has perished and so we're
pulling and scraping it all off, which leaves the side panels etc.
slightly  sticky and gluey.

What's the nicest / easiest / best way to deal with this?
Just paint over the glue?  Wash the glue off with some
kind of solvent?  Glue some more plastic on top of the
glue?  (What kind of plastic & what kind of glue?)

thanks for any ideas!
Alan