Quick answer: no.
Longer explanation:
There is no such thing as a bottleneck.
If you are upgrading your graphics card, a stronger card will always do better.
It is just a matter of how much better, and is the cost of the improvement worth it.
It also depends on your game and how cpu intensive it is.
BF3, for example plays well with modest cpu needs in single player, but in multiplayer, it bogs down witn a weak cpu.
To help clarify your options, run these two tests:
a) Run your games, but lower your resolution and eye candy.
If your FPS increases, it indicates that your cpu is strong enough to drive a better graphics configuration.
If your FPS stays the same, you are likely cpu limited.
b) Limit your cpu, either by reducing...