In the United States, the "Higher Power" or "Government Authority" of Romans 13:1-7 is the Constitution.
The Constitution is "Caesar." As Founding Father John Adams observed, "We are a government of Laws, and not of men." However, it is and always has been incumbent upon "We the People" to KEEP our government a Constitutional Republic, as intended by the Founders. Benjamin Franklin rightly warned the people of the nation that in the Constitution, the Founders had given us "A Republic, if you can keep it!"
Additionally, John Adams further warned Americans that "Our Constitution was made only for a moral and religious people. It is wholly inadequate to the government of any other."
So, why are we in the mess we're in today? Because it was, and is, up to Americans, to "...bind him [the government/government officials] down from mischief by the chains of the Constitution..." as Thomas Jefferson exhorted us.
We have, as a people, FAILED to do this. We have failed because we have, over generations, had neither the moral fortitude nor the political convictions to enforce these ideals our Founding Fathers bequeathed to us on a government full of men with designs on power, graft, and the distortion or destruction of our Constitution and the very republican order upon which we were founded. Based on these standards, they have "won."
That does not mean I, as an American nor as a Christian, am not still entitled to the "inalienable rights" given me and all men by their Creator, nor that I am exempt from standing up and fighting for them, against tyrants and despots -- even if they are my "countrymen."