AMD (ATI) GPU drivers are the worst when it comes to OpenGL. id software is one of the few big companies that makes OpenGL games and they always run much slower on ATI cards (Doom 3 during the first few years of its release) or run with nearly game breaking glitches (Rage, textures that pop up 3 seconds too late on the screen)
John Carmack was seriously angry about ATI's drivers when the game "Rage" was released.
http://kotaku.com/5847761/why-was-the-pc-launch-of-rage-such...
"The driver issues at launch have been a real cluster !@#$, [...] When launch day came around and the wrong driver got released, half of our PC customers got a product that basically didn't work. The fact that the working driver has incompatibilities with other titles doesn't help either. Issues with older / lower end /exotic setups are to be expected on a PC release, but we were not happy with the experience on what should be prime platforms."
I unfortunately made the mistake to buy an AMD 5770 when I assembled my last desktop computer. This hateful GPU. If you even care one bit about either OpenGL or Linux, you are *ed with AMD.
The open source drivers for linux are too slow for anything that matters and the closed source drivers made by ATi are too buggy to be used at all, they couldn't even run Gnome 3 without so many glitches, for so many months without improvements to the drivers, that I felt true despair.
You want OpenGL or/and Linux, and you need performance ? Get a Nvidia. There's nothing but Nvidia that works well with either.
If you don't need performance, then simply get something that has an integrated intel chip.
I will never, ever think about buying anything from AMD again. Pure garbage. Their newer CPU line, the Bulldozer, is also garbage that runs slower than the older generation on many tasks.