"I was asking specifically about the Firering connector on the antenna side. It's all one piece, there are pictures in the website I linked. I'm wondering if there's an adapter or something or if I should just get a whole new cable with the NMO end on the antenna side."
Those firering / 3/8-24 threaded studs are not well suited for VHF and UHF frequencies. Unless you screw one through the center of a metal roof you're not going to get a good groundplane and it would leak. You're also not going to find any sort of no-groundplane antenna for VHF/UHF on a 3/8-24 stud mount. You could clip it off and reuse the coax which is RG-58 I believe. You would have to crimp on another connector though. Depending on how long you have had it on there you may be better off replacing the coax as it can degrade with mositure, heat, and tight bends over time.
NMO is really the gold standard for VHF/UHF. They are waterproof when installed correctly and they'll provide the most options for antennas. PL259 antennas can work, but you'll probably want to take care to waterproof that connection and check it and clean it out once or twice a year.
If you care for my $0.02.
Mounting higher is better. Try and clear the roofline if you can and stay away from our A-pillars if you can too as having vertical metal near the antenna can detune it and you wont radiate and receive equally in all directions. If you are going to mount it to the rear of your tub or off of a tire rack I would suggest a no-groundplane design or a coaxial array with one of the elements clear of the roof. These suggestions are really more important if you want to reach out with your range, but if you're more looking for simple vehicle-to-vehicle solution on a trail ride you can compromise a bit more and still have a perfectly functional setup.