The thing is that it does that on other games.
Assassin's Creed 4 is another one but so I would get an extreme case... The same happens on Minecraft.
I tried it because it's not really a demanding game. I get a lot of sutters and the fps and not really high (at least as high as they should be but still over 100fps).
On Sniper Ghost Warrior 2 I can get 70-80fps on ultra and with the GPU usage hitting 70% while the CPU is just there chilling in the 50-60% range.
The PSU is a no brand basically. It came with the PC's case back in 2011. It is a "built" pc but not by me at the time and it was only 350€ so yeah...
Regarding V-Sync, no I don't have it on. On Minecraft I can have it running of Window mode and still have over 100fps
About the drivers. I just uninstalled the Nvidia one's and went to the AMD website and installed them from there