As the verse above says: "there is no authority except that which God has established" God is sovereign and in control. He expect the govts to enforce his standards by the rule of law. Those who don't are sooner or later removed and replaced with those who do. Someday Christ will return to earth and rule himself.
"When in the Course of human events it becomes necessary for one people to dissolve the political bands which have connected them with another and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature’s God entitle them,"
They didn't try to abolish, but rather set up their own God ordained institution.