What an interesting question ...
I'm not sure I understand what the "goal" is exactly? Of course we cannot have unity as compromise. However, if it involves sharing and discussion hopefully to some benefit, which is what I usually see as the goal, that may be different.
I tend to look to priests with good pastoral wisdom and how they handle these things. I pay attention to those who answer questions from outside the Church, and I see that they are very careful not to compromise the teachings of the Church, and yet they keep a wise eye on what their words "sound like" to those outside the Church. When necessary, they go into depth to explain what they really mean, what they do NOT mean, and will warn the listener to work through with them if they have to lead off with a difficult statement.
I will give the best example I can think of. When it comes to the Orthodox Church being the "one, holy, catholic and apostolic Church" and such things as those who are saved being a part of the Church.
Outsiders hear this as Orthodox saying, "We're saved, no one else is, you're all going to hell if you don't belong to our Church!". And I'm sorry, but I don't think that is REALLY what the Orthodox doctrine says. While we do believe in our own Church - I believe it is well-stated by the many who say some version of "we know where God is, but we do not know where He isn't" and who do not pass any judgment or condemnation on those outside of the Church. I've checked with a number of priests and those in leadership and have heard this echoed as the official Orthodox Church stance.
Now, we DO say that those who are saved are joined to the Church - but outsiders just don't "speak the same language" and there are gulfs in their understanding and what we actually meant.
These kinds of gaps exist in many topics, to varying degrees. It makes someone who is completely unfamiliar with the Church and trying to learn about it have a difficult time. I was one of those for whom it was difficult. Many times I was given answers by Orthodox that were VERY off-putting, and if I had taken what I understood those answers to mean, I would have turned away from the Church and never learned the true meaning.
So I have a lot of compassion for those who are exploring, and for those outside the Church, and what they hear and how they are going to interpret it.
I'm not sure if that is the kind of question you mean to ask, or if I'm taking it in a wrong direction. I'm not suggesting the Orthodox should compromise doctrine - by no means! That is one of the things I most respect about the Church, even when I have disagreed with her.
But it would be best if we can avoid building artificial walls that do not really exist, and will prevent some from even attempting to climb over them because of their misunderstanding.
Unfortunately, I think the responsibility falls to Orthodox to be compassionate and kind and know where those potential walls can be thrown up, and be sensitive to those outside and try to prevent that from happening. As I said, I've seen priests who are excellent at doing this. They are the best example I think we may have to follow.