A while back I had lunch with a delightful fellow on staff at an ACNA parish. At one point during our meal he asked me why I began going to a 1928 BCP parish and what it was about the service that kept me there. He didn't ask the question in a snarky way. Rather, he seemed to be genuinely interested in why me - a relatively young person - would be attracted to what was, in his opinion, a very arcane liturgy.
It was a good question. And the answer for me, and for many Anglicans, is that there is simply no other home for us than in the continuing church. It boils down to liturgy and theology, which of course are two sides of the same coin. The Roman Catholic Church is not an option because its liturgy in both its ordinary form and extraordinary forms is not to our liking. The former is too modernistic, and the latter is Latin, lacks hymnody, etc... it is not "reformed" enough. In addition, certain aspects of the theology of the Catholic Church are still problematical to many Anglicans. So they are just not an option for many Anglicans. The Episcopal Church is not an option because of their heresy, and also because of the modernistic liturgy. Although they have a few parishes that maintain the old traditions these are islands, and so one would have to come to terms with being in communion with the rest of the TEC. The Lutheran churches lack the apostolic succession and the catholic tradition of the Divine Office, and also have different levels of theological problems. Orthodox churches are too ethnic and to foreign liturgically. And finally, the ACNA is modernistic liturgically and also theologically in certain critical areas - WO especially.
So really, for me and for many other people, the reason we are in the continuing Anglican churches is because of genuine liturgical and theological convictions. We have read and studied a lot, and we have been to many different churches in a number of different traditions, and finally we have found our home in the continuing church. This doesn't mean that I love everything about the continuing churches, or that we are perfect. The culture of many of our parishes is problematic in its own unique way. But in times when I have been very frustrated with the church and the ministry and wanted to leave one of the things that has stopped me is the question of where else I would go! I simply wouldn't be happy anywhere else liturgically and theologically, and neither would most people who have chosen our parishes to attend.