Earlier quoted context omitted.
What the actual...? One would hope the cops at least apologized for nearly destroying your front door all because you didn't answer the door. It's not like they had a warrant for your arrest or something!
Except that law enforcement is explicitly immune from having to pay damages to property in the course of their duty. We had a SWAT team destroy a fence with an armored vehicle during a standoff and they were just like, "not my problem." Apparently they don't want to have to make decisions based on cost.
Personally, I'd just have the state cover it, but explicitly not have it come out of the police budget. A reimbursement check or tax credit could work.
In the event that malice is suspected on the part of any involved party (police department, property owner, 911 caller, home invader, etc.), it would be on the state to press charges and recoup its loss.