Weston, yes you can remove the laminate with acetone.
Work in from the edge squirting in a little at a time
as you work the laminate up with a putty knive.
With the laminate off, you might want to reface rather
than paint. Herrick Kimball has recently published
book on the subject: Refacing Cabinets, Making an
Old Kitchen New. The techique is quite accessable
to the DIY and produces far better results than
any other method I know of. Youd can check it out
at http://www.taunton.com/books/fh/refacing.htm.