Sure! I repaired the door and it's working fine. I still can't figure out what wrecked it?? But here's what I did:
1. Clamped a piece of wood to a drill press and drilled a hole in the wood that was a tight fit for the axle.
2. Poked the axle and the broken bit into the hole from below, and that held the axle so that it was perfectly concentric with the spindle on the drill press.
3. Drilled a hole through the centre of the axle and the broken bit, then tapped the hole for a #6 x 32 machine screw.
4. Removed the door from the wood on the drill press, then slathered it and the machine screw with epoxy and assembled it. Once the screw was tight, I wiped off excess epoxy on the outside and let is sit overnight.
So far, no problems.