There are still plenty of Christians who rue the transition to state church, although they tend to be in the minority. You'll usually find them in the fringes in things like the Catholic Workers or the New Monasticism (which is sort of a protestant Catholic Worker movement). I'd assume that many Quakers also fit the mold.
Quakers break the mould in more ways: they include the small subset of athiest quakers. Well, let's be polite. Nontheist.
A charming church of scotland minister in fife told my athiest brother it was no barrier to a successful career in the church, one should not allow a trivial obsession with the 39 articles to stand in the way. He specialised in computer aided stylometry of amongst other writing, the Pauline epistles.
There was a bit of a public debate a few years ago (maybe more than a few years ago) whether belief in God was necessary for Unitarianism. IIRC, there was a smallish schism as a result of the debate between the deists and atheists.
From the little that I know of Quakerism, I would think that at least some level of deism would be necessary, but who knows.
Graham Greene had a short story, βThe Last Word,β (the title story of his final story collection) which posited a world in which atheism had become nearly universal and the military dictator summoned the last believer, the Pope who had become senile with age to assassinate him. After shooting him, he began to have doubts about his atheism and faith continued.
