It all depends on how strong the bonds need to be. There are many, many ways of gluing PE together, each with advantages/disadvantages. If it has to be strong, CA or epoxy are the way to go. If not, white glue, acrylic clear gloss, or (my favorite) Microscale foil adhesive work great.
I'm guessing PE brakes don't need to be all that strong, but I've never used them. What do you think?