Doug, no need for loc-tite in this application. Anyway, do me a favor, when you do tighten this nut, touch it and tell me how hot it is from the friction. And what does heat do to loctite? With these locking nuts, if they are going to come loose, loc-tite is not going to do a dam thing to stop it.
Do you want a real nice, sturdy, cheap, and easy to make vise mount? Get a piece of steel, 2" o.d. square tube, 1/4" thick. Mount the vise to this, stick the tube in your class 3 receiver. Instant stable vise for under $20.
Do not, DO not, DO NOT use an impact wrench on the nut. This is also a lock-nut, which changes everything. First of all, to say that "My impact says it develops 1000 ft. lbs. of torque so I can torque stuff to 1000 ft. lbs." is just ignorant. If your impact says 1000 ft. lbs., the average guy is lucky if he's getting 400 out of it. These impacts are rated in test lab conditions. With 1/2" air lines and screw type compressors with an almost unlimited supply of constant 120 p.s.i. air. Did you ever put an air gauge right at your gun and see the pressure drop when you pull the trigger? You would be shocked. Try it.
Don't get too stuck on getting this exact torque. Not only me, a small shop, but also the large shops I know and deal with, do not have anything to set the exact torque with. There are excavator cylinders which get tightened to over 10,000 ft. lbs. Is there a torque wrench for that? of course not. There are ways to get it close, but none of us are going to spend $20,000 on the equipment to do it.