Thank you for posting some insightful information regarding the Russian Orthodox Church. Just as the Catholic Church is comprised of 22 churches, I understand the Orthodox are similarly organized. Do you happen to know how many churches make up the Orthodox Church and which patriarch serves as the guardian of unity, assuming they are united? Thanks for shedding any additional insight.
No, they are not. There are a few historical patriarchies, but most of them are near-extinct in practical terms due to the Muslim occupation. There are also significant divisions and sub-hierarchies inside the individual Orthodox Churches, and between them, so that even intercommunion is not at all common. The primacy of honor is recognized in the Bishop of Rome and of Constantinople, but in practical terms it means little, even if we forget of the Great Eastern schism that put the Bishop of Rome outside of the orthodox orbit.
The Patriarch of Constantinople is not at all like an Eastern Pope. Local churches almost certainly will chart their own course the moment he does anything the rest of the Orthodox worlds would consider problematic. For example, he has no power to put reunification in effect.
The practical primacy belongs to the Russian Church, as by far most populous. The Church in Russia (Moscow Patriarchy) is, however, stained by its historical collaboration with the militant atheist communist regime. They lost a chance to rehabilitate themselves when the Soviet Union collapsed and are perceived, correctly, I think, as collaborators with whatever civil authority happens to sit in the Kremlin. This is why it will be dangerous for our own souls to get too close to the Moscow Patriarchy, no matter what political games Patriarch Kirill may play.