In case this helps anyone:
Was trying to remove my water pump. Obviously the part of the pump that you need to thread in the bolts and push it out broke off right away.
I tried to pull, pry, hammer, and even drill it out with no luck. After a few hours I think I figured out what worked.
1. Get a good pair of vise grips, the ones that you can tighten with a hex key.
2. Clamp them on right behind the shaft that rotates, where the fan attaches.
3. Tighten the vise grips by hand.
3a. Tighten the vise grips with a hex key.
3b. Tighten the vise grips with a hex key and a breaker bar.
3c. Make sure they're grabbing on there really good.
4. Get a large breaker bar and slip it over the handle of the vise grips.
5. Rotate slowly (otherwise the vise grips will slip) to turn the pump clockwise and then counter-clockwise. That should break the calcium deposits that are holding the pump in place.
6. Carefully rotate and apply pressure to slide the pump out.
This will obviously destroy your pump. I also learned that you don't need to remove your pump to remove the lower timing cover, so I guess if your pump isn't bad, don't even bother removing it.