Given the similarity of the launch and flight stages to other scary things militaries look out for (icbms), I can't see how point to point rocket flights become a geopolitical reality. Airplanes can barely fly a straight line through Europe or Asia as it is. Point to point is only really a reality over North America, oceans, and Australia.
As long as the countries at the endpoints agree to the flight, it is hard for others to stop suborbital flights.
Commercial airlines have to deal with going over countries that have air forces which can intercept them. Intercepting satellites is quite a bit harder. And attempting to gets everyone mad at you because of how much garbage it creates. In fact people are STILL unhappy with China because of the fallout from their attempt to TEST their capacity to do that in 2007!
