I took the anti-rollback system off of the elevator to fix the problems, but then the car wasn't able to lift up the elevator at all! The car also had a lot of trouble turning on the track; sometimes it even fell off. So much tinkering with the elevator and car was probably what messed them up. I wish I could have fixed everything, but I've already spent over 2 months building this ball machine, and I can't spend any more time working on this lift system. More pictures of the lift before I demolished it can be viewed here.
In the picture above, you can see both switches to the anti-rollback system. When the switches aren't being pushed, the 3 red gears that the car turns can move one way, but not the other. An orange lever (which is hard to see) locks into one of eight spokes on a white connector, which is attached to the 3 gears that the car turns.
Now that the lift system is apart, I'll have to think of something else. Cataclysm will still have its originally planned design. Unfortunately, I'll probably never be able to build a lift like this again.