Great thread! The things I miss when I'm away from this board.The original post
seems to describe one faction in Anglicanism, the traditional Evangelicals/Low Churchmen, which is what the African conservatives are. Definitely Protestant. The jury's out in Anglicanism on whether the claim to apostolic bishops is necessary, as in the pre-'Reformation' churches, Catholicism and the East, or not (the Swedish Lutheran position; they claim the succession too, not recognized by Rome).
Growing up an Episcopalian (because my father left the Catholic Church before I was born), High Churchmen including good crypto-Catholics taught me the episcopate is necessary to be fully the church. (Ironically, because they're semi-congregational, meaning parishes have a lot of autonomy, they taught me good pre-Vatican II liturgics when the Catholic Church wanted nothing to do with it anymore; thanks.)
The original post describes classical 'Reformation' Anglicanism on Holy Communion and Holy Orders as the Anglican Articles of Religion teach.
Basically now in Anglicanism you have three factions; used to be four. The battle royale in the denomination is between the white First World (British and American) liberals and the conservative Evangelicals (such as their remaining Calvinists; most of the Africans and some of the Brits). The liberals won in the Episcopal Church; in England, a largely irreligious country, the liberals and Evangelicals are in a standoff in the Church of England. The liberals are a spectrum, high liturgically (they love our stuff) and often believing what we do about the sacraments BUT ranging in their beliefs from accepting the teachings of the creeds to agnosticism, etc.; they're all on board with women priests and gay marriage, which they believe are self-evident truths about justice, which is why they're not Catholic or Orthodox. The third faction is middle-of-the-road, sort of like ELCA Lutheran with whom the Episcopalians are now sort of merged, theologically and liturgically moderate. They're skewing more liberal now that the Episcopalians are voting out conservative beliefs. The fourth faction, crypto-Catholics, are mostly becoming Catholic now that it's clear they lost the battle for the denomination. They were called Anglo-Catholics; now, the high-church liberals are likely to use that moniker, confusing since the earlier A-Cs were doctrinally conservative, imitating Rome.
St Raphael of Brooklyn was right: you don't know who in a given moment you're dealing with.
Catholics and Orthodox: Do you believe X? (Meaning: Do you believe it's an essential part of the church that all the faithful must believe?)
Anglicans: Yes. (We allow it as an opinion but don't require it.)
The big difference from us Catholics and Orthodox is right in their Articles XIX and XXI: they believe the church is fallible therefore fungible, so they can and do change essentials by voting on them. Which is why they have women clergy and are about to have gay marriage. When you see that they believe in a fallible church, you realize their liberal moves in recent decades were inevitable. Throughout mainline Protestantism, including them, apostasy, formal rejection of the teaching of the creeds, is only a vote away.
By the way, it seems that most English Calvinists including the Anglicans lost their faith at the 'Enlightenment'. Lots of America's founding fathers, such as George Washington, Thomas Jefferson, and Benjamin Franklin, were unbelieving nominal Anglicans. The Sixties only made it more obvious.
Catholicism and Orthodoxy have slightly different approaches to the same one-true-church claim. There is an allowable hardline Catholic opinion that all non-Catholics are going to hell. But Catholicism teaches that the Orthodox have grace: real bishops, real Mass. The Orthodox, on the other hand, allow the opinion that since the schism, Catholicism has been a fraud; you don't have to believe that but you may.