The best way to answer your question is:
1 - Run a HW utilization monitor
2 - while playing the games you want to check against
3 - see if either the GPU, the CPU, or both, are spending a lot of time at or near 100% utilization
The results will very likely be different for different games, but will also give you a clear answer of what to upgrade, if anything at all.
Also, throw the word bottleneck out of your vocabulary. It is misused to the point of uselessness.
Beyond that, the resolution and refresh rate are usually FAR more important for determining what video card you need than comparing the CPU to the GPU.