Wrong.
1. You misquote scripture by ellipsis leading the unlearned to think that without peace no man shall see the Lord.
2. Just because rabble rousers make riot doesn't mean I or others cannot protest peacefully. One of the largest protest rallies ever was the Tea Party march on DC. No violence or tumult whatsoever.
3. You have presented error in regards to submission to authority. By your standard Christians would be required by God to submit to nazism, communism, sharia, or any other tyranny imposed by a wicked "government". Further, the supreme authority in these united States is "We the People". That fact has been affirmed by the Founding Fathers, the courts, the state constitutions, and other sources too numerous to mention. When the citizens "protest" it is an act of the highest governing body, the body politic. Therefore, to protest against the act of protesting is to protest the sovereignty of the highest lawful body in the nation. In addition, the law of the land enshrines the right of peaceful assembly by the people. To oppose that right or the exercise of that right is to be in opposition to the law of the land and thus the system of government established BY GOD for our governance. Which would be an act of rebellion against the principles of
Romans 13.
4. Your argument in section 3 of your essay is in essence that Christians should pray and do nothing else lest they be accused of meddling in God's business. Thankfully nobody with any sense believes that for if they did no farmer would tend his crops, nobody would have helped anyone escape communism or nazism, and Moses would have been killed in infancy. Not to mention Noah would not have built an ark.
5. As for protesting not being part of the armor of God, neither is voting, driving a car, planting crops, working at your job, paying the bills, or dying a martyr's death, yet none of those things are wrong nor are they forbidden to God's people.
In summary, I suggest you learn first the Bible doctrine concerning the role, purpose, and scope of human government as well as the foundation of the American system of jurisprudence and politics. Then you will be more able to speak on the subject.
Having said that, I do think protesting is a waste of time because it implies the powers that be currently in charge actually care what the populace thinks. Which I do not see any evidence of whatsoever.