Filters are the proverbial band-aid half-ass fix. Eliminate all the bad installation and vehicle fault factors first, then go to a filter if the radio is so inadequately designed that proper installation doesn't help.
Bad grounds and poor connections will definitely cause noise problems as well as other symptoms. Run the power wires to the battery with a fuse at the battery 12V+ connection. The advice to run a case ground at the radio is a good idea. That ensures that the braid of the antenna feedline isn't providing the ground. Make sure the body is well grounded to the frame, that the engine is grounded to the frame, and the battery itself has a good connection to the frame ground. All that effort will ensure that the body is properly grounded to the frame and the radio is well grounded, and that other things in the passenger compartment don't find their ground through the radio's circuitry and the ground at the radio.
Make sure the center conductor connections of the antenna feedline aren't touching ground anywhere. That'll make the transmitter go into self-protect shutdown in the better designed units, and can cause the cheaper units to blow the final amplifier outputs.
Make sure the antenna mount ground is actually a ground, and that the mount itself is properly assembled and isn't allowing the center conductor wire connections to be grounded.
PS: there's no such thing as a "pre-tuned" antenna. That's another urban legend. They're pre-tuned and tested to an ideal lab standard, but few, if any installations are "ideal." Each installation is different and no antenna can be "pre-tuned" to cover all applications and mounting configurations. That ain't saying you won't get lucky from time to time though.
PPS: No matter what you've heard otherwise, cutting the feedline cable to a certain length accomplishes nothing more than fooling a cheap SWR meter. That practice flies directly in the face of known antenna science and only reveals that there's another problem. Since I'm in the commercial two-way radio business, I carry an antenna analyzer in the gear on my truck and would be glad to help any of you with an antenna problem when we run across each other. That's at no charge, BTW, I'm not in the CB business.