Hi Seth,
Your comments re the Sydney Anglican you met:
he was Calvinist, adherent to sola scriptura and very anti-Catholic
are fairly representative of the beliefs of the majority of Sydney Anglicans. Why we differ from the Anglicans you may have encountered in Melbourne has to do with history and theology. Basically, after the Anglican church broke away from the Roman Catholics, three main factions emerged - those who wanted to make the Anglican church Protestant in character, those who wanted to make it more like the Roman Catholic church, and those who wanted it to be somewhere in the middle between the other two.
Sydney is dominated by Evangelicals - i.e. those who see Anglicanism as essentially Protestant in character. We base this on Archbishop Cramner, the 39 Articles, and the 1662 Prayer Book. At the time Sydney was settled, the Evangelical party in the Church of England was influential, and, via the efforts of notable British evangelicals like William Wilberforce & John Newton, evangelical clergy were appointed. They encouraged other evangelicals to follow, and Sydney has stayed true to its “Reformed” (i.e. Calvanist) evangelical roots ever since.
By the time Melbourne was settled, what’s known as the Oxford or Anglo-Catholic Movement was all the rage. They believed that the Anglican church was essentially Catholic in belief, and so introduced (or re-introduced, depending on who you talk to) practices and beliefs to make the Anglican church more like their idea of what the Catholic church should be like. These changes proved enormously influential, and eventually spread through the “middle” Anglicans, but were bitterly resisted by evangelical Anglicans, and so never became commonplace in Sydney.
The first Archbishop of Melbourne was a Reformed Evangelical, but later Archbishops were “moderates”, and so Melbourne became a mixture of Evangelical, Moderate and Anglo-Catholic.
Hard on the heels of Anglo-Catholicism came Liberalism - basically, an attempt to re-invent Christianity in light of the critical scholarship that was attacking traditional teachings about the Bible and Christian doctrine. Over time, most “moderate’ Anglicans became Liberal in doctrine. Often, the Liberal clergy kept the Anglo-Catholic style of worship and clerical garb, and so they’re often called “Liberal-Catholics”. Today they’re the largest grouping within the Anglican Church in Australia, and make up about half of all Melbourne Anglicans, with the other half being evangelical. Liberal clergy in Melbourne tend to train at Trinity, whilst Melbourne Evangelicals train at Ridley.
Much of the modern differences between the Sydney Diocese and much of the rest of the Australian Anglican Church come from the different ways Evangelicals and Liberal-Catholics have tried to respond to the changes in post-war society. Liberal-Catholics have tended to keep up the formality of their church services, whilst changing the underlying theology. Archbishop Peter Carnley from Perth is a classic example. He was pro the ordination of women and practicing gays as priests as well as being pro-ecumenical, and insisted that his clergy wore full Anglo-Catholic clerical garb whilst celebrating the Lord’s Supper.
The evangelical response was the opposite to that of the Liberal Catholics - tone down the formality of their church services, whilst trying to stay true to Cramner’s theology. Phillip Jensen, Dean of St Andrew’s Cathedral in Sydney, is a classic example. He never wears even the classical evangelical Anglican clergy garb, is anti the ordination of women and practicing homosexuals as priests, and tries to convert everyone who isn’t a practising reformed evanglical.
I’m aware that despite being long-winded (a failure of mine), this is full of generalisations and errors that others will justifiably point out. Nonetheless, I hope it gives you some background.