After I got the drag link off, I moved the jackstands as close as I could next to the diff - that seemed to put enough pressure on the case that I was able to give it a good yank and it popped right out.
I flipped the axle over and got the pinon out as well. The stack of shims is very carefully saved in exactly the order they came out so that I can micrometer them and then stack them up exactly the same way with new ones.
First - a bath for everything over the parts washer, then knockout the old bearing races, pull the old seals - pop in new races for the pinon, install new seals and off we go with a nice, new sealed diff, new bearings all around and new manual hubs. Thereafter, I can start on the rear axle.. Like it will ever be done!
Thanks for everyones suggestions, I appreciate it!