I had a play around with WoW today, and found that if I lowered the graphic details from High to Good on just about all the Environment and Effects settings, this actually increased CPU usage from around 10% to 16% for the one game I was using to test (this is on an i3770k at stock). This was only in the starter area, without all the visuals you get in a boss fight, but I think it was a reasonable test.
I'm only guessing but I figure the implementation by Blizzard is assuming that people reduce these options because their GPU is not powerful enough, so they offload processing onto the CPU along with reducing some of the bling.
If my GPU could handle it (it probably couldn't unfortunately), I reckon I could probably 10 box myself at a pinch on my current CPU, although I would probably need to shut down a few of my other background things, and maybe setup an overclock. If I had a couple of extra cores, it would be even better as I'd have some headroom.
So, to answer your question, would a 5960x solve your problem?. If you are just maxing the CPU and the processes don't require much more grunt, then probably. If the games (or something else hooking the games) are looking for a bunch more, then maybe not. You could find this out by shutting down 1 or 2 and seeing if that makes the problem go away. If you have to shut down 3 before it goes away, then chances are a 5960x wont help, based on the percentages.
Personally I think your issue lies in your configuration somewhere (game or other), and the hardware you have should handle it, but that's my opinion, and I don't have the comparative hardware to confirm this.
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