I think one of the things which has hurt our ability to dialogue is the modern Roman concept of the Two Lungs theory (which is complete nonsense). so why convert if you have been told for a long time that we are really close to each other (we're not) and we fully recognize each other's sacramental life (we don't). why even start looking if we are told we are really just the same?
The funny thing about that is if you read the original document from which this "two lungs" phrasing comes, it is very clear that the Pope is not really making that point. From that encyclical titled
Ut Unum Sint (
That they may be one), promulgated in 1995 by Pope John Paul II:
In this perspective an expression which I have frequently employed finds its deepest meaning: the Church must breathe with her two lungs! In the first millennium of the history of Christianity, this expression refers primarily to the relationship between Byzantium and Rome. [...]
In its historical survey the Council Decree Unitatis Redintegratio has in mind the unity which, in spite of everything, was experienced in the first millennium and in a certain sense now serves as a kind of model. "This most sacred Synod gladly reminds all ... that in the East there flourish many particular or local Churches; among them the Patriarchal Churches hold first place; and of these, many glory in taking their origin from the Apostles themselves".The Church's journey began in Jerusalem on the day of Pentecost and its original expansion in the oikoumene of that time was centred around Peter and the Eleven (cf. Acts 2:14). The structures of the Church in the East and in the West evolved in reference to that Apostolic heritage. Her unity during the first millennium was maintained within those same structures through the Bishops, Successors of the Apostles, in communion with the Bishop of Rome. If today at the end of the second millennium we are seeking to restore full communion, it is to that unity, thus structured, which we must look.
The Decree on Ecumenism highlights a further distinctive aspect, thanks to which all the particular Churches remained in unity: "an eager desire to perpetuate in a communion of faith and charity those family ties which ought to thrive between local Churches, as between sisters".
Following the Second Vatican Council, and in the light of earlier tradition, it has again become usual to refer to the particular or local Churches gathered around their Bishop as "Sister Churches". In addition, the lifting of the mutual excommunications, by eliminating a painful canonical and psychological obstacle, was a very significant step on the way towards full communion.
The structures of unity which existed before the separation are a heritage of experience that guides our common path towards the re-establishment of full communion. Obviously, during the second millennium the Lord has not ceased to bestow on his Church abundant fruits of grace and growth. Unfortunately, however, the gradual and mutual estrangement between the Churches of the West and the East deprived them of the benefits of mutual exchanges and cooperation. With the grace of God a great effort must be made to re-establish full communion among them, the source of such good for the Church of Christ. This effort calls for all our good will, humble prayer and a steadfast cooperation which never yields to discouragement. Saint Paul urges us: "Bear one another's burdens" (Gal 6:2). How appropriate and relevant for us is the Apostle's exhortation! The traditional designation of "Sister Churches" should ever accompany us along this path.
It would be mighty odd for the RCC to be talking about the need to reestablish communion if in fact the EO and the RC were really the same. Of course, the RCC wants to communicate to its partisans this idea that the schism came about as a result of human pride, and that the modern RC attitude is one of humility and familial love and all this, so it is not surprising that many RCs (myself included, for the time I was one) would come away with the impression that the RCC and EO are
essentially the same (because they teach this or something like this in many other places), but it seems that somewhere along the line from the long, long ago of 1995 until now, the actual aim to that expression seems to have been twisted from "we need to work to reestablish communion" to its antonym (~ "we
don't need to work to reestablish communion, because we're basically the same as it is -- we just need to get the EO to accept/realize this").