If I understand where you're coming from, I can definitely sympathize with what you are asking about as it relates to evangelism. It does bug me sometimes that Orthodox Christians don't seem to be very proactive about missions work. There are some shining lights of evangelism, like St. Innocent of Alaska, or Sts. Cyril and Methodius. Or St. John Chrysostom, who encouraged and supported missions to the 'barbarians,' and translating the Scripture into various languages. But in general the Orthodox approach does seem rather passive, and I have commented on my frustration in this regard, as it seems like we need to do more.
Having said that, there's something else that I'd put forward to consider. Between the Eastern Orthodox, Oriental Orthodox, Roman Catholics and many Protestant groups there has been a ton of evangelism over the centuries. And yet less than 1/3 of the world is Christian. It seems to me that, if evangelism and conversion was as simple as sending out missionaries to preach the gospel, that the entire world would have been Christian a long time ago. It's not simply a matter of preaching the Gospel, though, but rather people have to be convinced of it, see people transformed by it, and see its superiority and truth. I often feel that Orthodoxy falls short on the numbers part of evangelism (both in terms of evangelists and resources), but I think they have something lacking elsewhere, and that is a depth in evangelism.
Really the problem, it seems to me, is finding the balance. Multitudes of missionaries preaching something that won't stick or isn't deep enough won't work long term in converting people and cultures. And having incredible depth and breadth in theology and practice, but not being active about sharing it, also won't work long term as far as evangelism. I agree that Orthodox Christians need to support missions more, and not simply settle for a passive 'come and see' or 'best kept secret' thing. Having said that, I also think Orthodoxy is in a great place to do that, having the foundation and resources, if only we would push a bit more. When we point to places like OCMC and say "Go and give to them and support them," rather than pointing to them and saying "Look, we already do evangelism," then I think you will see Orthodoxy grow consistently, one person at a time, and hopefully (I hope I'm not delusional here) one culture at a time.