Thanks for that link! The lock-right was in the rear when I bought it, so I didn't have any installation instructions.
Here's the disassembly procedure at the end. It looks like I need to partially disassemble the locker to get the right C-clip out, and maybe totally remove it to get the left clip out. Ugh.
C-Clip Axles
1. Remove the pinion shaft retaining bolt and the pinion shaft.
2. Rotate the drives until one of the right window holes faces out. Push under the spring with a small sharp-pointed pick and pry the end up. Push a small screwdriver or bent piece of small wire under the spring and pop the bottom out. Push the pin out of the pin hole and into the window hole. Repeat for the other three springs and pins.
3. Move the right driver to the left, touching the left driver.
4. Move the right space to the left, into the center of the left driver. (use the U-Shaped wire tool).
5. Rotate the left tire and both drivers until the C-Clip installation recess in the teeth of the right driver is pointing down.
6. Tap the right tire inward to release the C-Clip so that it falls down, through the recess.
7. Rotate the left tire to rotate both drivers and allow the C-Clip to drop out of the case.
8. Pull the right tire out about one inch.
9. Push the spacers into the centers of the drivers.
10. Remove the driver and space opposite the ring gear flange first and then remove the second driver.
11. Remove the left C-Clip.
12. Remove the coupler.