ter (i.e., get permission from the federal government) because some nimrods were playing with GPS jammers near an airport.
If you want to use the ham radio analogy, there should be no registration for flyers (of any type) as long as you meet certain operational requirements: Altitude, range, proximity to airfields, etc. For the vast majority of r/c flyers, this means that we can operate as before without the FAA having any interest in our activities.
However, there could be levels of certification for those interested in long-range FPV, high altitude flying, commercial operations, etc. In other words, if your activities could conceivably impact other users of the National Airspace System (or the general public on the ground), then you would be required to prove some level of competence, safety, and awareness of appropriate regulations.
And, of course, severe punishments should be meted out for those nimrods who fly their off-the-shelf toys in such a way as to endanger or impede the general public.