But it will never happen. The concept of a centralized power structure and an authoritarian coercion is embedded in that church. It is what makes them comfortable.
When Calvin was asked by a Roman Catholic friend if he should stay and try to reform that church or leave, Calvin cautioned him to flee.
In the 64 pages of this minute tome, Calvin gives his reasons why his correspondent should remove himself immediately from fellowship with the Roman Church. Calvin's arguments are completely founded on Scriptural grounds, as we would expect. He outlines why the Roman Catholic Church is a false church and why true Christians can have nothing to do with the blasphemies and idolatries found within. Even being in the presence of the mass can give the appearance to others of conformity to sin against the second commandment. Calvin describes Roman Catholic worship and the Mass and argues "that those only preserve the holy religion of God who profane it by no defilements of unhallowed superstitions, and that those violate, pollute, and lacerate it, who mix it up with impure and impious rites" (pp.17-18)...""...Calvin wrote it to persuade a friend to leave the Roman Catholic fold. His friend had written to him and asked whether it was possible to remain a member of the false church while inwardly being of Reformed convictions. At that time, there was a large group of people in Reformation Europe, referred to as Nicodemites (after the Pharisee Nicodemus of John 3), who were in prestigious positions, and for whom conversion to the Reformed faith would mean disaster in terms of social consequences. Such people could lose their family, their incomes, and even possibly their lives. It was one of these Nicodemites who had written to Calvin wondering what he should do. The question is phrased this way in the Translator's Introduction: "Is it lawful for a person who has renounced Popery in his heart to conform outwardly to its rites, for the purpose of avoiding persecution, or for any other imaginable cause?"
Cauvin himself was personally run out of Geneva for his excessive tendency toward authoritarian coercion.
Cautions from him on the risks of authoritarianism truly approach the very apex of hypocrisy that mere mortals can achieve.
It is a result of history. As it grew in the 300's and 400's aristocrats began to assume positions of power and the link with govt became a part of it. Change may be very difficult to accomplish, but anything is possible with God.
FWIW, I'm pessimistic about that kind of change happening but we can hope.