yeah the impedance wouldn't match, to low. It would work somewhat, but would be so
low on audio and probably a little distorted. The audio circuits in a cb wouldn't do it. Most HF rigs wouldn't as well as the gain isn't designed to boost a low z mic. That's the reason for the preamps and eq's as noted in other posts.
The new Heil HM12 would probably match close enough, but you would need to wire your own mic connector. It's a 4 connector out of the mic as it has a ptt button on it. It should be easy, audio wire, ground ptt and shield.
Hmmm very interesting.