More interesting than what an Orthodox priest would hypothetically do here in America is the question of what directives are given to priests in, say, the Church of Greece should they encounter this situation.
In a majority Orthodox country, this situation is more likely to happen, and the question is more relevant.
As a matter of interest, this link is to some guidelines for OCA clergy. It covers the issue of an Orthodox priest being asked to bury a non-Orthodox person (there is a specific rite in the Book of Needs for this), but nothing in the guidelines that I can find addresses the issue of a non-Orthodox Christian requesting confession or communion in extremis.
http://aggreen.net/guidelines/guide05.html
The priest was tied up with a Philoptochos meeting after Liturgy so I didn't get a chance to ask. My gut tells me its OK to give the sacraments to a Roman Catholic in extremis. My thought on this was prompted by Agrarian's question on what would happen in Greece. There, I have heard, priests have given the sacraments to Roman and Byzantine Rite Catholics and allegedly to Anglicans but no one else. This isn't apparently all that uncommon especially in times of war and today with the large numbers of Anglican and Roman Catholic tourists and business people.