Thanks for the info! I'll have to get some denatured alcohol and give that a go. I especially like that you can clean strings with it too.
Today I gave up on guitar-specific products to clean/polish the SR tuners, and tried a different approach.
First I went over the tuners for about a minute apiece with one of these..
http://www.autobarn.net/toreprtobydu.html
Then I immediately polished with these..
http://www.myjewelrybox.com/?section=item&itemID=15
It worked quite well, but I'll still give the denatured alcohol a try.