If Latins and Orthodox (and apparently also at least some ECs) can’t agree on organizational structure (as the EO reception of the attempted equivalencies by joe370 show), how on earth can they be expected to agree on deeper matters of theology that really show how far apart the two communities are?
It seems to me that even if the Latins were right and the two communities just have “separate but equal” ways of guaranteeing the infallibility of their churches, we would still have the fundamentally different approaches to the faith which are NOT reconcilable and have not been ever since the Roman communion began endorsing things that had never been placed in the category of dogma before the Great Schism. In fact, if the Latins are right, I see it as even worse than that. They would have me believe that infallibility is at least theoretically preserved in the Orthodox Church (presumably by the same Holy Spirit that guides the Roman Pope in his infallible statements), thereby the Orthodox criticism of the Latin overreaching. Or is the Holy Spirit only guiding the schismatic Orthodox when they are in agreement with Rome on a given point? It seems to me that if the Holy Spirit is telling one Church that its doctrine is correct (or necessary, or whatever) while telling the other that the same doctrine is not correct or necessary, we have one of two inescapable conclusions that we must draw: Either the Holy Spirit, who IS GOD and worshiped together with the Father and the Son in the Holy Trinity, is wrong in its guidance of one or the other Church, or one church’s epistemology is off.