Re: Registration will not help
Shooting one down with a directional antenna is trivial and harmless to regular aircraft.
I presume you mean jamming it? That may trigger the "go home" routine, which may actually lead it across the very flightpath you're trying to keep clear.
I'd use that directional antenna in reverse and find whoever needs percussive education - much more productive. I suspect that breaking bits off the right person is more likely to prevent repeat offending than breaking bits off the drone - the parts are harder to replace.