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do you have Google now? I installed that a cpl days ago and the battery drain from android was insane, about 10% higher than even screen, which is usually my highest draw. Turned out to be the traffic card
System will always drain the battery, you can't really kill that.
As for the kernel, what kernel are you using? Are you overclocked? What are your settings? If you have something like "performance" set it will eat your battery alive.
If you use the "on-demand" setting, the kernel will only go high when needed.
Those are the heart of your phone.
If you don't like them running, turn your phone off.
You can fix the system battery drain by switching to a power efficient rom.