After scribing the current location of the hinges with respect to the car body, and with respect to the door, I removed the door and hinges. The door is held on by 6 hex-head screws. The hinges are held to the car body by #4 Phillips screws (3 on the top, 2 on the bottom) and 9/16 hex screws (2 on the top, 1 on the bottom). I looked all over for a #4 Phillips bit for an impact wrench, but with no luck. In fact, Ace Hardware was the only place around that even had a #4 screwdriver. In the end, I just put a set of vice grips on the screw driver and they came right out.

To my surprise, the hinges had about 1/8-inch of play--implying almost an inch of up/down motion on the lock side of the door. The bushings would need to be replaced!