First, I had to fish out the Alps mount stub from the switch itself. For this, I took out a paper clip, straightened it, and used a pair of pliers to bend the 1mm tip of the paper clip by 90 degrees. This made a sort of J-hook. Then, I stuck the hook down into the stem, rotated 90 degrees, pulled up, and had the stub in hand. Success!
But, how to glue it back on?! PBT is notoriously difficult to glue.
I looked around and I found the Henkel/Loctite Design Guide for Bonding Plastics:
https://www.ellsworth.com/globalassets/ ... onding.pdf
I went to page 39 to consult the bonding strengths for all the different options. I guessed that I was using an unfilled resin (as opposed to glass fiber filled or whatever) and Loctite 401 with prep was the clear winner! I guessed, too, that a swab with acetone would be about as good as using Loctite 770 primer.
Loctite 401 is really expensive ... unless you import it from Korea!

http://www.ebay.com/itm/321862849979
Now, be warned: this stuff is basically Krazy Glue on steroids. Use nitrile gloves and eye protection when dealing with it. Better safe than sorry! Use a tiny dab, and hold the parts together for 60 seconds.
It worked great! The key cap is saved, and I've learned some things along the way. PBT can be glued ... and, be careful when stacking keyboards.
