Yes, that coax will work. The male stud with female threads is called a pl-259. It can't plug into another same thing, so there is a different plug for that. It has male threads and a hole in the middle, and is called a so-239. They are referenced as plug / socket by the hole & plug, not the threads. This is a pic of them:
My mount, not the best pic, and not very pretty, but could be. It has 3 band clamps holding the rail to the roll bar, then the visor bolts are holding the windshield piece along with a drilled/tapped hole, and the 2nd set of visor bolts hold the mic clip. The two rails are bolted together, then an aluminum strap runs between them to hold the radio, with nylon washers for swivel. All hardware is SS and locknuts. All available at your hardware store.
I wouldnt mount it there if you are over say 5'7" or so.