As James already divulged, we are the Orthodox Church of Antioch, which oversees all the east.
Antioch is located on the coast of Syria, but is currently occupied by Turkey (given to them by France in the 1930s, a nice Catholic-Muslim deal to undermine the Orthodox), so our head is located in Damascus.
Antioch was originally a Greek city, built by Alexander the Great, and thus the Antiochian Church began as a predominantly Greek church. However, over time, the locals (once Canaanites now Arabs) became more populous in the congregation and now Antioch, as well as its church, maintains an Arabic tone.
Lebanese and Syrian Orthodox Christians pertain to the Antioch Patriarchate. Most Lebanese Christians are Catholics however, whilst the majority of Syrian Christians are Antiochian Orthodox.
The first ever church was founded in Antioch.
We do have a lot of missionaries in the West, mainly due to the fact that a great number of Syrian and Lebanese Christians have emigrated in the millions all over the world over the past century. And wherever we go, we try to preach the word. The Western-rite in the US is one of many attempts by the Antiochians to lure in Protestants to our faith. Whilst certain traditionalists in Greece would reject such liberal methods to spread the word, the Antiochians have realised the world today is quite different from the world where Constantinople reigned 1500 years ago and as such have adapted to current circumstances. Our faith is not being compromised at all by extending an arm to non-Orthodox Christian brothers and sisters.
We have also embarked on other initiatives in the US, including opening a museum in Pennsylvania.