I have met a few converts from norminal Orthodoxy, both EO and OO, to Protestantism.
None of them really knew Orthodox theology, and their arguments in favour of Protestanism were not theological.
Usually, it was something like being warmly welcomed in Protestant communities, considering them to be "cool" and "western", enjoying the music, and having received help from members of the Protestant community they joined in difficult situations, such as loneliness, poverty and alcoholism.
Can we learn something from that experience?
Of course, we cannot present ourselves as "Western". But we can use our cultural difference in the West. For example, let's have delicious ethnic food regularly and invite non-orthodox friends and neighbours to the parish on such occasions.
As for modern music: I think, we should not in services, who should keep their heavenly and eternal character. But in youth meetings held in addition to services, it might be possible. The Coptic Church and, to a smaller degree, the MP do use modern music with Orthodox texts in youth meetings and seem to have to have some success with it.
The other two points are the most important: We must be welcoming and be ready to help people in difficulties. I just visited and EO monastery in Sweden who is doing just that. It is a wonderful place.