Well, I finally got around to replacing the battery door on my AL-1. Bought the door here:
Followed these instructions for the most part:
The biggest issues were (1) the freakin' hinge was a pain in the backside to remove and (2) the new door's hinge slot was too thick so it wouldn't align properly to put the hinge back in. I basically pried the metal hinge out with an XACTO blade, taking some of the plastic with it. I then shaved the outside of the new door's hinge plastic so that I could align the holes and reinsert the metal hinge.
At any rate, it's done and it works.