Fast and easy cabinet door...Opinion
 

Depending on the size, layout, and elegance
of your shop cabinets, you might try sliding
doors.
These, of course, can be as fancy you like.
If large, rollers in a track are helpful like pocket
or shower doors. Smaller ones can ride in a
rabbet.
They won't be dust proof but will keep the
possums out, are cheap, and could use essentially
your original plan.

I want fast cheap and dimensionally stable.