Uffda... after reading the comments on the bug, I was hoping it was as simple as changing the call to the deprecated OpenGL function they mention, rather than moving to a whole new renderer. No such luck, eh?
I already had Automatic Alpha Masks off, since it screws up anti-aliasing on a bunch of stuff. I also had deferred rendering off. Interestingly enough, turning it
on fixes the problem, but alas, also messes up anti-aliasing.

I'll try playing around with different driver versions. The bug comments mention older drivers apparently support the deprecated functions better...
UPDATE: The card came with their Catalyst 11.8 drivers. Upgrading to 11.9 (the latest as I write this) did not fix the problem. However, downgrading to 11.5 did fix it. (I did not try any in between, since the comments in the JIRA suggested the problem started with 11.6.) So, problem solved.
