Well radio surgery was pioneered by Leskell, a neurosurgeon from Sweden and continued to be adapted and developed by several neurosurgeons across the globe. I think it has historically been a collaboration between neurosurgeons and radiation oncologists - from what I know, neurosurgeons place the frame, the rad-oncs operate and shoot the beams. Neurologists didn't seem to show much interest in performing procedures before, so they never acquired any turf. Potentially, a new breed of neuro-oncologists can participate in these procedures, though it is most likely completely institutionally dependent.
So I guess my point is, in the distant future (since you are apparently pre-health), if you have continued interest in this procedure and want to be a neurologist, you should take steps to contribute to the research and development of it. That way, when the time comes around to decide who gets to do it, you can say well I helped create it/enhance it/developed the protocols for it, then maybe you will be granted privileges. As of now, it seems like this technology is very new, and the future is quite uncertain.