Any update to this? I'm having this same issue, out of seemingly nowhere (no recent changes or addons). (Using Sublime Text 2 (32-bit) on Windows 7 x64)
There's an inordinate amount of visual GUI corruption, to the point where I can no longer see tabs or the side bar.
Restarting the program and rebooting the machine have done nothing to avail the issue. It's possible that this coincided with a changing of video card drivers, however. I hadn't used ST2 in the time immediately preceding/following the changing of drivers, but it is possible that they're connected. The visual corruption is much like the known visual corruption in Firefox when used with AMD cards.
(I'm using an AMD 7950 with 13.8 BETA2 drivers)