I do understand your surprise over what seems to be a lack of evangelization by Orthodox, particularly coming from an Evangelical Protestant background. Many of us who came to the Orthodox Church from other backgrounds were almost overcome with amazement, joy, and wonder at discovering Orthodoxy and exploring the endless treasures and unfathomable depths of Christ’s One, Holy, Catholic, and Apostolic Church. For many of us, particularly prior to and just after conversion, we wanted to tell everyone about Orthodoxy, particularly our non-Orthodox family members, and figured that everyone would be hungering for the true faith and would react with great excitement, interest, and amazement over what we would share with them about the Church. However, for most of us, we found that people often simply do not care. They are simply content with the religion that they have, regardless of its inadequacies or falsehoods; or they simply do not care about history, theology, etc.; or they just want to be left to believe whatever they want to believe; or they are turned off by the overzealousness or personal faults of the person telling them about the wonders of Orthodoxy. The Lord instructs us to be careful where we cast our pearls, and many of us eventually learn that discernment is needed and that the Faith needs to be treasured by us and lived by us first of all, and then we should be willing to speak about the faith in humility if people seem open to such discussion.
Orthodoxy is hard work, it is cross-bearing, martyrdom, etc., and is not simply a great big party to invite people to. It is radically different than all pseudo-Christianities, and it demands everything of a person. Whereas in Evangelicalism it is enough to get people in the door, or to “ask Christ into your heart” in order to be saved, salvation in the Orthodox Church comes through a process of complete repentance, of participating in the mysteries, and of self-denial. In America, Evangelical Protestantism and Roman Catholicism are very dominant, and these groups use similar words as the Orthodox use but often with completely different meaning, and so it is sometimes much more difficult to communicate with non-Orthodox Christians than it would be to communicate with pagans about the faith.
These are some considerations that may be helpful to keep in mind. Also, because Orthodoxy is financially poor and numerically small in America, even if there are lots of Orthodox sharing their faith with others, you are unlikely to be as aware of this as you would be of Protestants doing the same thing. For Orthodox, we try to be humble and meek, and not showy. Since Orthodoxy is about theosis and the transformation of one’s life in God, and not simply a matter of “believing” something, many of us do not broadcast our faith precisely because we are aware of our personal inadequacies and we do not want the holy Orthodox faith to be associated with sinful people such as us, for we are really not worthy to be part of the spotless body of Christ. Nevertheless, as we try to humbly and simply live our faith, amazing opportunities come about for discussing our faith with others. I have had many conversations about Orthodoxy with co-workers, family members, non-Orthodox friends, and complete strangers. Many opportunities for talking about Orthodoxy come up throughout one’s life, at so we each have many opportunities to plant seeds.
As far as more formal evangelization efforts are concerned, I used to attend an Orthodox Church that had Tuesday evening vespers services followed by an Inquirer’s class, as well as a Thursday evening vespers followed by a Patristic Bible Study. The priest of this parish was young and from Russia, and was very zealous. When one student of an Evangelical Bible College in the area started coming to this parish, he slowly started bringing Protestant friends from school. Many of them were eventually received into the Church and the priest was able to give several talks on Orthodoxy at the Bible college and start a Patristic Bible study there as well, which led to many other conversions. This priest would also visit Russian Protestant churches in the area, would go in with his cassock and cross, and speak with the Russian people about the faith of their homeland, the faith of their fathers. So, even in America, there may be many evangelistic efforts undertaken by Orthodox, but in a calm, humble, and perhaps largely unnoticed way.
For your encouragement, you may want to listen to the following podcast about the newly martyred priest Fr. Daniel Sysoev and his zealous missionary activity in post-Soviet Russia:http://wwww.ancientfaith.com/podcasts/postcards/the_missionary_program_of_the_new_martyr_fr._daniel_sysoev
Ancient Faith Radio is, in general, specifically to help non-Orthodox learn more about the Faith:http://wwww.ancientfaith.com/
There are many other stories that can be shared about mission work in the Orthodox Church, but I hope this information will be of some reassurance.