Well, you don’t run into this situation every day. Henderson, NV police are accused of violating the 3rd Amendment rights of a local family.
The Third Amendment, which forbids the “quarter[ing]” of “soldiers” in private homes in peacetime without the owner’s consent, is often the butt of jokes among lawyers, because it generates so little litigation. But the Amendment has come up in this ongoing Nevada case, along with the Fourth Amendment and state law claims
So the question that immediately comes to mind is whether the police qualify as soldiers under the Constitution. On its face, I would say no, but given the militarization of the police these days you could make the argument. Of course that might not be the real reason for advancing a 3rd Amendment case versus a 4th. Could be the notoriety of the approach is intended to garner wider attention?