Would a Jew be able to bomb Israel if necessary? Would a Catholic be able to go to war with the Vatican? Would Michael Dukakis, son of Greek immigrants, have been able to take a hard line with Greece?
It's a good question: would an Iranian immigrant be able to effectively deal with Iran? It's a question that would certainly come up during the campaign, and I trust the voters to make the correct judgment.
Your analogy doesn't hold here. Look at the history of the Papal States. Plenty of Catholics have, for just and unjust reasons, resisted and even gone to war against the temporal interests of the Vatican.