This reply is going to be short and to the point, not well thought out, etc., cuz I am going to bed.
OOD, the "New Calendarist Ecumenistic World Orthodoxy Heretic" types do not believe that the modern Nestorian aka the Assyrian Church of the East are on par with the Non-Chalcedonians. In other words, there is NO attempts at reconciliation with them going on from the (Byzantine) Orthodox.
I asked one of my St. Vlad's profs, who is all gaga for union with the Non-Chalcedonians, why he didn't think that the Nestorians were just "using different words" as well, and his answer: "because no matter how they are phrasing it they are actually heretics." I add this so that you might understand that even the ecumenists are not above discernment.
You might ask about me personally. I actually have gone to the local Nestorian Church three times and enjoyed their worship. In reading some of their positions on the website www.cired.org I am convinced that they do in fact share a similar Christology BUT I believe there might be something far more grave in their separation than with the Non-Chals. Even if Christology is set aside, there is still the grave issue of their not calling Mary Theotokos.
--BUT--
If you read the articles on their website you will note something interesting. Mar Bawai Soro, one of their bishops, when asked why they do not accept Mary as Theotokos as promulgated by the council of Ephesus had this to say (paraphrased from an issue of Eastern Churches Journal): "You ask us why we did not accept Ephesus. The answer is we were not invited to it. You ask us why we do not accept it now. The answer is no one asks us to evaluate it. Maybe if you ask us to accept it we will." <------------------Q: Are we missing an evangelistic opportunity??
You might be intersted to know there used to be an Assyrian Rite Orthodox Church (aka an Assyrian Uniate Church tacked on to the Church of Russia). Communism knocked it out except one parish in Tehran where the ROCOR priest goes 1-4 times a year.
anastasios