Has anyone ever tried the UV-activated stuff on PE? You would probably have to use some small clips (aligator clips) to hold the pieces in alignment while you hit it with the UV light, but the stuff is supposed to hold like gangbusters. Plus it only activates when you hit it with the light, so you should be able to get your fingers and tweezers out of the way.
I have never used it, but I would certainly try it in these delicate areas that you are showing. But then again, it may not work as well as I was told.
Just throwing ideas out there.
Bob