A lawsuit has popped up in Nevada regarding homeowners who were ejected from their home during a siege of their neighbour's house by police.
As militarized as the police are getting, I don't think they are soldiers as described by the third amendment to the Constitution.
For reference here is the full text of the relevant article: "No Soldier shall, in time of peace be quartered in any house, without
the consent of the Owner, nor in time of war, but in a manner to be
prescribed by law."
That's fairly clear and somewhat self-explanatory. Depending upon the facts and circumstances, it's entirely possible that the court may find the police justified in their actions.