Due Process is the magic term.
No, Insurrection Act is the magic term. The President has the authority to use the military as needed to "suppress, in a State, any insurrection, domestic violence, unlawful combination, or conspiracy if such insurrection, violation, combination, or conspiracy results in a condition...that--
(A) so hinders the execution of the laws of a State or possession, as applicable, and of the United States within that State or possession, that any part or class of its people is deprived of a right, privilege, immunity, or protection named in the Constitution and secured by law, and the constituted authorities of that State or possession are unable, fail, or refuse to protect that right, privilege, or immunity, or to give that protection; or
(B) opposes or obstructs the execution of the laws of the United States or impedes the course of justice under those laws."