So you say that the nationality of the Pope doesn’t matter, but the Patriarch’s does? That’s quite a double standard. When one Eastern Orthodox Christian goes to another Eastern Orthodox church throughout the world, he would be able to take Communion freely no matter what Eastern Orthodox church he’s visiting because we are all united under one faith. Yes, there are slight differences in the customs of local churches, but the basic faith remains the same. We firmly believe that there is no need for one unified leader for us to answer to because our view of authority is different from the Roman Catholic view. Authority for us comes from the unity of the Church in faith.
Authority is not given only to Patriarchs; authority is given to all bishops who then hold synods when major points of disagreement come about in their patriarchate or archdiocese. If a major conflict comes across the whole church, then we hold an ecumenical council. There has not been a conflict widespread enough in Orthodoxy to warrant calling an ecumenical council for nearly 1200 years (since the iconoclasm), only synods to deal with local problems (rarely, some particularly good synods have gained unofficial Churchwide recognition even though they technically do not have the authority of an ecumenical council). There is no “Patriarch to answer to.” We are directly under the authority of our local bishop who who himself is under authority of the decisions of ecumenical councils and local synods (in other words, all bishops have authority and vote in making decisions, but they are also under the authority of the entire body of bishops). While it might seem scary not having one person of definitive authority at the head of things, I assure you that this system has worked rather well for the past 1978 years of the Church, and it is one that has preserved the deposit of the faith left to us by the Church Fathers through the generations.