In recent days I've had some interesting, very revealing discussions with folk - laity and clergy - about the continuing church, and was able to clear up a major misconception about the Church for them.
This was the misconception: not everyone in a continuing Anglican parish is there for strictly theological reasons... because they are ultra conservative and highly informed churchmen who strongly adhere to the theology of the 1928 Book of Common Prayer and the King James Bible. For some reason these folk - both clergy and laity from other traditions - thought that was the case, but it is not. They were amazed to hear that continuing Anglican parishes are, for better or worse, just as diverse as every other church in the United States. My own parish is interracial and has people of all ages - newborns all the way up to retirees - each active and involved in their own way. The people have been drawn there, I have discovered, for all sorts of reasons: they like the little country "feel" of the place; they like the people; they like the rector; they like the hymns; they like the service; it is like how it was when they grew up, they like the theology; etc. In short, there is no single defining factor that seems to attract people to the church. In some ways I think the spectrum of theological beliefs runs the gamut, despite my best efforts to teach what the church teaches in a such way as to get them to believe it! Like folk in other traditions, many people that I have come across in the continuum have simply a basic knowledge of the 1928 Book of Common Prayer, and some but much less knowledge of the Bible and theology. So anyone who thinks that continuing Church parishes are bodies dominated by conservative political or orthodox theological "groupthink" is just plain wrong. Our people are as diverse as the people in any other church out there.
The difference, however, between us and the larger, mainline churches is mainly our liturgy and, of course, related to that, the orthodox catholic teaching of the Tradition. The membership of the Episcopal Church, for example, also has diversity in belief. But their church also has diversity of teaching. We are different. The continuing Church is much closer to the Roman Catholic Church in this area, inasmuch as, like them, our membership may believe any number of things, but the teaching of the Church in specific theological areas is quite clear and is unequivocally taught and preached.