NoiseHush headphone repair

My wife has a pair of noise cancelling headphones from NoiseHush - I can't find a model number on them and as they are a few years old the company seems to have moved on so I can't find an exact match at their website.

These things work great and are comfy, but the over-ear speakers rotate on a weak axel mechanism so you can store them more easily, and this weak axle snapped off one of the speakers.

This work-in-progress design is a first cut at a repair jig. Unscrew the 4 screws surround