I suppose you could slip in the 1/8" kerf weatherstrip and pin it in place
with a few small brads...Makes it difficult to remove for painting but
might solve the problem in an easy, if somewhat unprofessional, way.
To switch to a different type of weatherstrip you would have to fill in the
area where the current weatherstrip sits...about 3/8" wide by about 1/2" deep.
Then you could mount a surface type weatherstrip or a stick on v flex style