You just file it in a court friendly to your side. After all, it is privatized.
A privatized judicial system would be set up by the lawyers to their best interest. Imagine being sued by a lawyer in the Netherlands filed by a guy in South Africa in a court in NJ because the guy's brother in Tennessee got shot while tresspassing on your land Nevada ...
It'd still have to be agreed upon by both sides. That be a hell of a lot better than trying to ram anything thorugh say the 9th Circus.
As for George Senior, the Gun control he signed was an Import ban. Got it via Executive order when he couldn't get the legislation pushed through. George Sr. was not a gun friendly "conservative" by anyones stretch of imagination.