Good stuff Jim.
I agree about the CA or PVA adhesives - to make really sure, a 2-part epoxy, or a single part bonding adhesive might be better, in order to avoid de-lamination at some point in the future. I don't know any 'trade names' in the 'States, but a very strong bonding adhesive in the UK is called 'Evostick', which evolved from the aero industry I believe.
If you decide to use a 2-part epoxy, it should be spread thin (same with the 'Evostick') to prevent uneven contact, and 'lumps' in the outer surface, but test it on some spare or 'scrap' material first, as some epoxy adhesives generate some heat when curing, which might effect the plastic parts, though probably unlikely.