For some reason I thought he was referring to the Combined Community Codec Pack. I now see that it is actually Radeon drivers (Nvidia user, never owned a Radeon card in my life) :derp:
Yeah, that was my first thought. But then I saw the lack of a "P" in the name, and the version number.
The only suggestion I can make to the poster is phony's. Uninstall the driver, use sweeper to clean leftover garbage, and install the 11.7 version to see if Deus Ex still glitches.
If it still does, then it's indeed the game. Maybe it's a bug that can be patched, or maybe his computer simply doesn't have the necessary processing power and the audio goes out of sync.