The Roman Catholic Church then bullied its way in?

True, but so did many other "religions." It depends (not depended) on where you live, as to which church tried and is trying to make the rules for you.

Take, just for an example, the current Constitution of the Commonwealth of Massachusetts:

"Article III. [As the happiness of a people, and the good order and preservation of civil government, essentially depend upon piety, religion and morality; and as these cannot be generally diffused through a community, but by the institution of the public worship of God, and of public instructions in piety, religion and morality: Therefore, to promote their happiness and to secure the good order and preservation of their government, the people of this commonwealth have a right to invest their legislature with power to authorize and require, and the legislature shall, from time to time, authorize and require, the several towns, parishes, precincts, and other bodies politic, or religious societies, to make suitable provision, at their own expense, for the institution of the public worship of God, and for the support and maintenance of public Protestant teachers of piety, religion and morality, in all cases where such provision shall not be made voluntarily. "

(bold and italics added)

John