I am wholly opposed to distinguishing "cradle" Orthodox and "converts". There are Orthodox and heterodox, period. Those who are Orthodox in their hearts are Orthodox; the timing of their conversion is irrelevant. Those who are Orthodox only on paper are not Orthodox because their life is not. Our all-merciful God gives us until the last breath to convert; no one is keeping a score when that happens.
It could possibly be middle ground? Saying they are both right, Benedict has said that both are waiting the same thing, christians the messiah for the second time and the Jewish people for the first time. Judaism being theologically correct for the Jews meaning they have right to believe Jesus wasn't their messiah as he didn't fulfill the prophecies for Israel the first time, but came for the gentiles. Upon his second coming he will fulfill prophecy for both...:) I dunno...:)