The "storm the Capitol kind" is the kind that are sworn to do that which Christ the Lord refused to do, which is, to use temporal power to force hypocrisy upon our neighbors of this world. This was the ethos of Constantine, Charlemagne, and many, many others. The Holy One has been taking power from it increasingly in the last five or six hundred years, but it still motivates many whose preachers preach it.
Back in the mid-1600s, there was a remarkable man, Roger Williams, a Puritan pastor who came to America in 1631. He was originally a Puritan but became a Separatist over the next few years. Besides founding the first Baptist congregation in America, and besides being a great and trusted friend to the Native Americans, and besides being one of the original Abolitionists against slavery, he also established Rhode Island as a co-op corporation (the only colony that was not a for-profit venture). He established Rhode Island as the only colony permitting total religious freedom, in his own words: "...even for the Musselman [Muslim] and the heathen [atheist]."
Williams was a staunch TULIP Calvinist. He believed the Lord would call His own to the Church, and there was nothing gained by forcing into the pews those the Lord had not called.
Williams was thus against the entanglement of Church with government. It's necessary to understand his context: Europe had been fighting the Thirty Years War his entire life over whether Europe would be an all-Catholic Holy Roman Empire. That war was winding down, but he was also watching the English Civil War heating up to determine
what kind of Protestants the English would be. What he had seen in his life was unending war, Christian against Christian.
In 1644, Williams wrote "The Bloudy Tenent of Persecution, for Cause of Conscience." In that treatise, he traces the history of the tragic entanglement of Church and State all the way from Constantine to his present time, with the conclusion that there should be a "...hedge of separation between the Garden of the Church and the wilderness of the State."
It was Rhode Island that later refused to ratify the US Constitution until after the First Amendment had been written and ratified.
(Yes, Thomas Jefferson was cribbing from Roger Williams when he wrote to the Danbury Baptists about a "wall of separation between Church and State.")