For what it's worth...
For many Americans converts or visitors, I think that they are initially a bit wary because of the Orthodox cultures (Greek, Ukrainian, etc.) and they want to feel like they won't be an outsider forever, once they join the church.
No, I don't want a ton of tracts shoved in my face and people with fake smiles chasing me up and down the aisles. However, at the last Baptist church I attended, the pastor made it a point to say "Hi" to us every weekend and ask how we were doing. (Little did he know that we were plotting our exit :-/) I did appreciate that, even though I felt like he was being a LITTLE too enthusiastic. Like some people were saying above, the courtesy isn't entirely fake. He thought that it was awesome that we were so intensely searching for a church and I think he just wanted to make sure we stayed there. The sincerity was there, although his manner was a tad aggressive.
Now, in a Greek Orthodox Church? There appear to be several members who don't speak English and I think the intimidation factor jumped a lot for my husband and I, who don't speak Greek. It's hard to push myself, as an extreme introvert, to sit down in coffee hour and strike up conversations with people who may not understand what I'm saying. We're also quite a bit out of the cultural picture, so there is a lot that we don't understand.
So I don't think its expecting hand-holding to want to actually TALK with the people sitting on the pew next to us, or simply to have our "Hi"s returned (at the Baptist church some of the people literally looked right through me when I tried to greet them!). We want to know that we can grow both in Christ and both as members of His body. That's not a bad thing.
How can we show other people Jesus' light if we just keep it to ourselves? I'm ALWAYS fighting to speak up more often and engage more people, not just for Him but for my spirits as well. I could never be content with letting members walk in the door and look around, completely lost. And believe me, you will find those types of visitors more often in an Orthodox Church than and Protestant church, partly because of the language and culture.