On Monday, April 18, 2016 at 12:12:00 PM UTC-7, J.B. Wood wrote:

Hello, and while I'm certainly grateful for all the responses to my OP
I'm sort of thinking that whatever adhesive I might use to glue that
plastic (nylon?) piece back together is at best short term.

Whatever made it come apart the first time, could just happen again.
Nylon doesn't glue well.
Maybe you could paint over the glued part with latex (available at
plastics suppliers as mold-making material), and use the mold
to make an epoxy duplicate?