What are the legal implications for taking down an unidentified drone hovering over your private property?
Short of using a rail gun, your projectile is unlikely to reach escape velocity.
https://www.forbes.com/sites/johngoglia/2016/04/13/faa-confi...
(I'm not actually advocating anybody do this.)
And by the way, as has been decided this year (though it might yet be appealed) in the Wyoming border crossing case, even using a ladder to cross through the airspace above private lands is not trespassing.