Iranian Prince Reza Pahlavi, the son of the country's last shah, is making his case for transitioning his home country to a democracy. Pahlavi has lived outside of Iran since his father, the late Shah Mohammad Reza Pahlavi, was overthrown in the 1979 Islamic Revolution that ushered in the Islamic Republic. With the killing of Supreme Leader Ayatollah Ali Khamenei by U.S.-Israeli strikes on Iran, Pahlavi said he believes the regime could fall. He believes the people of Iran trust him as a transitional leader, even though he's lived outside the country for the last 47 years. "Iran had been on my mind every single year of my life," Pahlavi told 60 Minutes' Scott Pelley. "Every single, when I wake up in the morning, the first thing that is on my mind is Iran."What Pahlavi sees as the future of IranPahlavi said he sees four core principles for building a new Iran."Number one is Iran's territorial integrity. Number two is a clear separation of religion from state, which is a prerequisite to democracy.…