Among Eastern Orthodox there is even less of a zeal for aggressive evangelizing Protestant style. This attitude, which both Churches share for traditional reasons, comes from Judaism — always ready to help someone interested in coming over, but not shoving it down their throat.
Oh, so that's how all Western Europe became Catholic and Eastern Europe became Orthodox--the bishops and theologians just sat in their cathedrals and millions of people showed up and asked questions.
It's been a while since I've read the "new testament," so maybe you can refresh my memory. Where did it tell how Paul just sat and waited for all of Anatolia and Greece to come to him?
The Catholic/Orthodox attitude toward proselytization doesn't "come from" Judaism but rather shares with Judaism the fact that they are ethnic religions (similar to the Black Church in America). Catholic and Orthodox chr*stianity keep going via reproduction, not missionary activity. All this is true. But to imply that this is the original apostolic attitude? Shame on you, old friend!
BTW, while Judaism isn't conventionally proselytary, it does proselytize for the Noachide Laws. The current withdrawn non-activist attitude of Orthodox Judaism doesn't come from the religion but from two millennia of living in a situation where all that mattered was survival and where any proselytization would have been met with mass slaughter.