As they say, the only dumb questions are the ones you don't ask.
If anything, putting a common mode choke (ferrite bead(s) on the coax, or coiling the coax) will improve things. It will keep the antenna from pushing RF down the coax shield. In my attic j-pole I coiled the extra coax in a foot diameter coil right at the antenna. Putting a few clamp on beads also works well at VHF frequencies.
What exactly is a common mode choke? How can it filter both 2m and 440 frequencies at the same time?