Ping
Though as I understand it "Melkite Greeks" are not ethnic Greeks but simply Byzantine Rite Arabs in communion with the Pope (as opposed to Byzantine rite Orthodox Arabs and non-Chalcaedonian Arabs who don't use the Byzantine rite).
Eastern Orthodoxy, a non-proselytary religion, is suffering from a declining birthrate. Meanwhile the Jews, who also practice a non-proselytary religion, are thriving. Interesting.
Ironically, however proselytary the Catholic Church may be in Africa and Asia (and the Orthodox world), in the USA they remain an ingrown ethnic church almost allergic to the very idea of missionary activity--especially among the embarrassing part of the population that lives in trailer parks.