The receiver does not power the servo, the battery does. All the receiver has in common with the servo is ground and the signal line (very low voltage very low current), the power supplying line (VCC) is a soldered bus (metal conductors) immediately at the output of the receiver, not actually part of the receivers circuitry.
Small or large it's trivial to separate the servo's power bus (VCC at least not ground) You just re-route the VCC line.
From that generality you get into some very detailed specifics from here on out.
It's common to run a NiMh hobby receiver from 4.8 volts where the servos are powered from a 6volt pack.
I would strongly suggest some more Googling on the topic, there is a HUGE amount of information out there on this subject already. Specific questions are welcomed in the forums, but some more research on your part would be good.
Not to say you're being lazy, but I'm not sure what you're having trouble with the most to best describe what your best course of action is, seeing as how every bit describing what you've talked about so far is available if you spend the time looking for it.
Best of luck, I'll comment as much more as I can, and don't be disheartened by complexity.. The more you don't understand the better you know you're looking in the direction that will teach you the most, even if you don't acomplish your goal.