I think if the Apostolic Faith is really going the thrive again in the Western world, it will happen by rejuvenating the inherent Orthodoxy in the living Western patrimony, rather than calling people to abandon it in favor of the (beautiful and venerable) Eastern patrimony or turning it into something it's not (setting the clock back 1,000 years by "resurrecting" old liturgies).
It's true that people can eventually feel at home in the Byzantine tradition, and we've seen as much in the many converts coming in, not to mention entire parishes. But I don't think that's the cure for the Western world. We need to bring healing and health to the living patrimony, affirming Orthodoxy wherever it's found, surgically removing anything that is decayed, and perhaps supplementing where necessary.
In the words of (Orthodox priest) Fr. John Winfrey:
I am convinced that to resurrect the Western culture to its proper place the Mass must be brought back to the center of life. And it must be the old Mass which was the living tradition in the West from the time of the Apostles. It is not enough to have a Eucharistic liturgy. The Divine Liturgy will not function in the manner that is needed. No, it is a product--which is altogether magnificent and beautiful--of a different culture. The Latin Mass (even in liturgical English) is what formed our parents and ancestors. It is still the quiet and almost unknown heartbeat of our culture.
If the Orthodox Church in the West remains exclusively or predominately "Eastern" in its expression of Christian culture, I don't think it will outgrow its foreigness and exoticism enough to become for modern Westerners what it was for ancient Westerners--simply, the Church of Christ. True, real mission work is not about numbers, but it's also not just about the conversion of the individual. Classical Orthodox mission work has always focused on the society, the culture. Make the culture Orthodox, and it will support the people for generations. Westerners becoming Orthodox do not stop being Western culturally. Such a thing would be impossible. However, the current trend is that they are becoming Eastern in their spiritual and religious culture. Thus, what they have to offer by word and example to their non-Orthodox Western brethren, is a praxis which is foreign to Western culture because it did not develop in Western culture. Therefore, fellow Westerners will not necessarily recognize it as being something in which they can take part in a natural, familiar way. Orthodoxy does, however, have a particular Western praxis which developed in the Western cultural milieu. While it is Orthodox and Christian (and, thus, still strange to many Westerners), it is fundamentally familiar, and non-Orthodox Westerners will be able to view it as something which belongs to them.