First thing you need to figure out is if the CB is receiving the noise from the power lines or if it is receiving radiated (RF) noise. This is easy to determine.
Remove the antenna from the CB starting at the antenna mount. If the noise goes away, then the CB is receiving noise that is being transmitted (RF) from the compressors and you do not need to do anything to the CB or its wiring. However, being able to actually get rid of the noise may turn out to be a BIG problem. TJ's were notorious for having lots of RF noise transmitted by the fuel pump. My 2004 was horrible. The only fixes for radiated RF noise is to shield the device making the noise or eliminate the noise at the source. On the TJ fuel pumps you could add capacitors right where the power leads went into the pump. Good luck if this is the issue.
If removing the antenna does not make the noise go away, then the noise is probably being feed into the power system from the compressors and you should be able to add a simple power line filter to the CB. However, it would be best to filter the lines going to the compressors so the noise cannot affect any other components in the vehicle.
Please keep us informed with your progress!
2007 Stone White Rubicon