I am not sure if I understand your statement. If I am reading right, United States were never a Theoracy form of Government. Theocracy is a form of government in which a religion and the government are allied. America was created with the influence of Christian people as well as non-christians. We live in a country with a form of government which legislative decisions are made by the people themselves or by representatives who act through the consent of the people. Our form of government offers people the ability to exercise their faith freely and without interference from the government. To be fair to all faiths, our government is set up to not establish a state religion. This includes promoting one religion over another. Faith is something that individuals must accept or reject. People either take the leap and believe or they do not. It is not something that can be forced.
I think we should be patriotic in the godly way. We ought to look at God's providential care in the life of our nation by reading Romans 13:1-7. One basic theme of the Bible is that civil government is ordained by God. Christians are still bound personally by a higher priority established by a higher authority. In my view, We just need to look at the whole picture. God never commanded the governments to "spread the Gospels". God commanded to Christians to spread the Gospels. The Gospel is for "spiritual society" while the Governments are for "human society".
"My kingdom is not of this world: if my kingdom were of this world, then would my servants fight, that I should not be delivered to the Jews: but now is my kingdom not from hence" (John 18:36)
In this explanation Jesus makes it clear that there is a definite separation between His kingdom and the kingdoms of this world. The fact that Jesus had not allowed His disciples to defend Him was evidence enough of this fact. Christ's kingdom is heavenly and seeks the reconciliation of the sinner to God, but civil and world governments are of this earth and seek for power and supremacy.
The Bible has much to say about the nature of human, the world, purpose, and etc. The world who are without Christ also have their own views. More often than not, the secular world view is in conflict with the bible. To Christians, this should NOT be a surprise. To the world who are without Christ, the issues we are facing is not a surprise either. It is bound to happen someday and it is happening.
The only time I will disobey the Government is when the Government asks me to disobey God as Daniel's experience in the Old Testament. So, at the mean time, I will just go with the flow and still tell others about Jesus Christ as long as I am here.