The stepper motors came in yesterday, and the news is a mixed bag. The good news: I can get it to run dead silent. The bad news is that the microstepping doesn't provide anything even close to a liner transition between physical steps. This is my first experience with stepper motors, so I didn't know exactly what to expect. I have learned that microstepping is meant primarily for noise reduction, and not for super accurate angular increments.
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Next up: driving the moire from the edge as I'd originally planned. The motor will be able to spin 13x faster than it is here, which is still very quiet and should smooth it out a lot. I already have a bunch of 3mm x 8mm x 4 mm carbon steel ball bearings, so it shouldn't be too tough to get it running smooth & sturdy