> “Martial law” is when the military is called out for domestic policing. Hard to believe our military would comply, though, in the absence of a total breakdown of law and order.
As well, in America you have the mis-named “Posse Comitatus” law that prevents your Army from being used against domestic threats.
(”Posse Comitatus” is actually a principle from the Magna Carta that allows the Lord of the Manor to raise a posse from the countryside to help catch felons when-and-as-needed).
Our County Sheriffs can do this, although they usually have some pre-organized auxiliaries who can be called up if a manhunt or search-and-rescue is in order.