i don't see where the OP has even stated what GPU he has?
its not about bottlenecking the GPU, its about the game requiring a quad core processor and him having a last gen phenom.
the game is CPU heavy, so even if you have a great GPU i would not expect good frames with that processor.
EDIT: sorry, realized it was in the thread topic, i'm still half asleep...
certainly comes down to the CPU in the case of BFBC2. as for MW2 i dont know why you are concerned with getting 60fps.
if you really want higher frames, you need a new CPU.
if you want to ensure the card is working fine, run a GPU benchmark.