Hi annalex! I think that's exactly what A-G was saying.
I imagine that when Christ prays for our unity, His prayer is not a prayer that we should all be exactly the same. To resort to an analogy: Different parts of the human body have different functions, etc., but all parts/functions are necessary to the well-being of the total living body (which in this case analogizes to the Body of Christ).
And so the answer to St. Paul's question, "Is Christ divided?" is: NO. Not any more than a brain is "divided" from the heart, or a kidney, or a lung, or the liver or pancreas, etc., etc. All are necessary for the vital functioning of the living whole.
Just a thought -- my two cents, FWIW. Thanks for the ping, annalex!
The Church as a body typology did not mean two heads. Diversity of pieties and practices is fine. Diversity of fundamental theology is not good.