Given how many GA flights routinely get lost every day, the rules of engagement will need to be fairly, shall we say, "robust"
My guess is that it will be done mostly with helicopters, and the military ones are quick enough to intercept most piston GA traffic.
More tricky will be fast moving traffic... and god knows what they will do if somebody gets lost in IMC and remains non-radio, and is heading in the wrong direction. Tricky!
Still, we should be grateful they let us fly at all. In Greece, 2004, they just shut down all of GA.