I've used pin nail or brads (no glue) to hold in those stops on glass fronts for decades. Doesn't take many 3 -4 max and when it comes time to swap panels a semi-flexible putty knife is all that needed to get the center of the stop loose from the frame.
Granted , mine aren't 1/2" thick x 3/4" wide. If you can't re-think the stop size, I'd just make up a 2nd batch for when the glass has to be replaced.