Earlier quoted context omitted.
The reason for licensing is similar to the reason for licensing ham radio: you get a slightly higher level of clue about not creating huge amounts of accidental interference, and a point of contact to yell at if they do. and a little safety education.... The ham radio licensing process is not onerous.
I went through it (admittedly many years ago), but ham licensing wouldn't really do anything for safe radio operation. I learned the real stuff from two very experienced operators. It would probably be easiest to regulate the transmitters than the people using them.
Not much in there that would stop you from electrocuting yourself, though, I agree.
Licensing the transmitters is the FCC's other standard approach and would probably work except for radiated power safety and antenna issues -- which can be pretty big. You could easily create significant interference or hazard from a botched antenna or connection. (But also which you don't learn enough from just passing the exam.)