https://www.law.cornell.edu/uscode/text/18/32
Of course that is in conflict with Causby, which would likely take precedent at low altitudes, though the not-unlikely result might be a test for exactly what altitude a flight would need to be to be defensible in shooting.
At the end of the day though, whichever way the law sides, the drone operator has civil restitution available (if it can be proved who shot), which should help shape the court cases.
Because it's property and not people, the redress would likely not be criminal, but civil. Within Causby's 83 foot criteria, the rationality of that defense doesn't really change, whether aircraft or no. Ergo, you would have a conflict between Causby and US Code. I dare say that because it's a federal rule, it would carry less weight than a local one, as 83+n feet is hardly un-arbitrary.
Long story short though, there's quite a lot of nuance here for which we don't have precedent.
Ordinarily (but not always), you're limited to using peaceful means to secure your rights. That would generally not include shooting stuff, though there may be exception.
So where I think you're right is that we don't have a good rule that tells you whether you can shoot a robot that walks/flies/drives onto your property. This is definitely different from shooting a person, and one could imagine it being permissible in certain situations. And come to think of it, we probably do have questions about your rights to remove or destroy other people's stuff when it's left on your property without your permission. That might be indirectly informative. But I don't have the time or inclination to really look into it at the moment. :)
e.g., I can get away with kicking your tire than I can your shin. Of course, damages is a factor here too.
Property rights are complicated as hell though. It occurs to me that one doesn't necessarily even have the unilateral right to destroy one's own property, so, yeah, I'm just going to rest on "it's complicated" and hope somebody more informed comes along to school me.
Seems to me that the drone operator has already admitted to wrecking his drone into someone's bullet. He better prepare himself to pay up some $0.25 to replace the bullet and maybe a few million for pain, suffering, and emotional trauma.
1. http://www.bbc.com/news/uk-england-hereford-worcester-349367...
EDIT: I'm not saying shooting the thing is the best idea (esp. given bullet trajectory and such), but what real, immediate options does an offended homeowner have here?
No. And, at least in the U.S., there is no such ruling. You absolutely cannot shoot someone just for trespassing on your property.
I know that where I live, Nebraska, the rare instance when someone breaks into a home and gets shot the homeowner is in the clear. There is often talk of "castle doctrine" but I don't really know what that means. I also don't know if the breaking into a home is the important part or if someone on your lawn waving a gun or knife around could be shot with legal blessing.
The Castle Doctrine doesn't, as far as I know, have a single clear meaning, but generally refers to rules that expand the circumstances in which a homeowner can use force (including deadly force) on an intruder to their home.
If the shooter from OP's link used a .22 or anything other than bird shot, then they are a real fool and a danger to everyone around them. Off the top of my head I'm inclined to think that the reach of a shotgun is probably about the right distance that ought to be protected, maybe a little bit further because of cheap optics.
I really feel the need to drive this point home, for obvious reasons: there is no such theory. You CANNOT DO THIS. You cannot shoot a trespasser on your land, just because he is trespassing. There has to be something else involved like reasonable fear of imminent bodily injury. The threat cannot necessarily be implied from the mere fact that he is trespassing. (It's clearly a different case if the trespassing is happening in your field in broad daylight v. in your bedroom in the middle of the night.)
Anything other than birdshot in this situation would be unacceptable, IMO, assuming shooting the drone is acceptable in the first place.