No religious denomination that came to American was ran out of Europe by Catholics. They were ran out by other protestant denominations. No Catholics burned anyone alive in the northern colonies. But protestants damn sure fried other protestants that didn’t agree with their one-track mind.
Commodore Barry was a Catholic, and a large number of Catholics served in the Continental Navy, to the extent that can be determined.
When the United States was formed, the formation of an American Apostolic prefecture was requested, and duly established with the permission of Pope Pius VI. There was no Catholic conspiracy to undermine the US, no Papacy campaign to foment rebellion against the US, even in the face of Catholics still being barred from public office, in total defiance to the Founding Documents. It just didn't happen. Those who imagine such a thing are informed more by their own prejudices than by reality. Catholics served in the Revolution in disproportionately large numbers, especially considering the persecution they faced, but their tiny numbers ensured that their large contribution were still small in comparison to that of much larger populations.
Mayflower sailed: 1620-21
Passengers: about half were Pilgrims, the makeup of the rest being non-religious commoners who would come under the rule of the Pilgrims
Puritans/Quakers/Congregationalists came later. Baptists: came into being later, first London Confession not written until 1689
Methodists: Their chief architect was John Wesley, born 1703
Declaration of Independence: One Catholic signer, the rest non-Catholic or Deist, no Jews