I think the Orthodox reply would be that Christ is the path of salvation for those both in and out of the Christian faith. They would say that the death of Christ purchases salvation for everyone who lives a pious life, whether they are Christians or not.
But the problem with this notion is that it ignores the very simple John 3:16: "For God so loved the world (they will say "see, the whole world is the target of God's love), that He gave his only begotten Son (again, so far, so in agreement with the article), that whoever believes in Him should not perish but have eternal life." And there's the key, belief. Belief in Christ is required. People outside of Christianity obviously do not believe in Christ, else they would be Christians.
Then there's Saint Paul's statement in Romans 10:9, "If you confess Jesus as Lord and believe in your heart that God raised him from the dead, you shall be saved." People outside the Christian faith do not do that.
But those in Orthodox clergy tell them "that's ok, no need to believe in Christ, your soul will be fine." I would not want to be in their shoes when they face the judge of all men and are called to given an account for their divergence from God's clearly written word.
Good Point. Here's the whole passage
John 3:14 And as Moses lifted up the serpent in the wilderness, even so must the Son of man be lifted up: 15 That whosoever believeth in him should not perish, but have eternal life. 16 For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life. 17 For God sent not his Son into the world to condemn the world; but that the world through him might be saved. 18 He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God. 19 And this is the condemnation, that light is come into the world, and men loved darkness rather than light, because their deeds were evil. 20 For every one that doeth evil hateth the light, neither cometh to the light, lest his deeds should be reproved. 21 But he that doeth truth cometh to the light, that his deeds may be made manifest, that they are wrought in God.
It's really hard to interpret that any other way. I hope that there is a way that people who know God and ask Him for forgiveness are granted forgiveness through the cross even though they may not familiar with Jesus. But I have practically no confidence that is the case. Rather I suspect that God would lead every one who is truly repentant before Him to Jesus.
This is a great distortion of what the Orthodox church teaches.