Unless he has the same specs down to the Mobo then it's still apples and oranges to some degree. Full mods is meaningless. Would have to really compare what you have.
A big FPS dipper is ENB series + high res texture mods. What happens when you disable ENB + rename the textures and meshes folder?
Things like drivers, background programs, anti-malware, etc can also be culprits.
I don't thing it's because the CPU. The FX-8320 should be marginal better as the FX-6300, as they having exact the same clock speed.
They have the exact same one core performance. Multi core performance is better on the FX-8320, but that's obvious.
Physics performance is the same too...
Benchmark performace should vary with different Mobos and Memories, but that's shouldn't have much impact on real gaming.
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For better results you should compare your mods and your friends mods side by side, and you should compare yours and your friends Skyrim Performance system resource Monitor.
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As jasper1979D say: Things like drivers, background programs, anti-malware, etc can also be culprits.
To add an not optimized Operating system, unnecessary Windows services, unneeded programs that auto-running at startup, even an not properly configured computer BIOS could be the culprit.