I obviously have no clue as to exactly how it will play out, but the scenario I see is that Americans will be in such dire need for a savior that they will gladly abandon the constitution and join the AC. Americans are proud of their country and its foundation, it would take a lot for us to drop that pride and join the AC. To me all it would take would be the rapture, war, civil war or massive civil unrest, economic depression and a president who stayed in office without an election. A starving people, frightened by the rapture and witnessing their traditional government being broken apart by a president who "in light of the current situation," instituted martial law after declaring a state of emergency and postponed elections. I think this would be enough for Americans to join. And yet the president probably would join even if it wasn't agreed with by the public. And of course this scenario is with the idea that this happened before November, but something along these lines could happen after wards too.
"Greater love hath no man than this, that a man lay down his life for his friends."
1 John 4:16
"And we have known and believed the love that God hath to us. God is love; and he that dwelleth in love dwelleth in God, and God in him."