Caiside, I think you speak too broadly when you write "Orthodox priests already can marry" .  They can marry before ordination to the priesthood, but not afterward.  If their spouse dies they may not re-marry;  they are given the choice to remain celibate priests or be "deposed"---a word which does not have the opprobrium Westerners assume.  It means they are freed from priestly obligations and may remarry and live as faithful Orthodox laymen.  [In rare circumstances, a bishop may invoke "oikonomia" to allow a widowed priest with young children to remarry and continue serving as a priest.]
The above relates only to what we would describe as "diocesan clergy", but not to those who have taken monastic vows.  These must remain celibate or be "deposed" [in the sense explained above], since the Orthodox do not have the practice of "dispensations".