No... you do not have the right to shoot down things over your property. And where did you get that 1000 foot concept? In the US, drones are supposed to stay under 400 feet.
And no... your private property does not include “airspace”.
>>And no... your private property does not include “airspace”.
You are wrong.
The Supreme Court case United States v. Causby (1946) established that a property owner has rights to the airspace directly above their land, and that low-flying aircraft, such as military bombers flying at 85 feet, can constitute a trespass if they substantially interfere with the property owner’s enjoyment.