Anglican theology centers around church unity. Holding to the via media (both pre-reformation as well as post-reformation tradition), Anglicanism seeks to be a part of the entirety of God’s plan unfolding. Anglicanism fragments very slowly; much slower than any substantial Protestant movement. It took much longer for the liberals to break the walls of the Anglican church than the other movements within Christendom. This is an example of the stability that the Anglican faith offers. Many of us believe that the unity that God speaks of in John 17:11 and Ephesians 4:13; 5:27, will involve, at the very least, the format of the Anglican movement: ancient faith coupled with future faith!
From my experience and research within Anglicanism, I have found that the oldest and seemingly most stable Continuing Anglican movement, is the Reformed Episcopal Church. With that said (and I respect any disagreements on that statement), I would like to present the REC’s format for adopting other churches outside of the Anglican faith. It is not a model that requires a seeker group of people to just drop everything and cause chaos within their current congregation, but it is a model of courtship, one that involves discipleship and charity! This link will take you to the REC document that describes this process.