They all supported a policy of westernization.
Prior to these rulers, Japan, Turkey, and Iran used to be very isolated and not have a lot of contact with their neighboring countries, let alone the West. However, once Emperor Meiji, Kemal Ataturk, and Shah Reza Pahlavi assumed the 'throne' of their respective countries, they turned towards the West and wanted to modernize their countries and people.
I believe its the first answer
The idea of it was that the United States was created by God to span across America "From Sea to Shinning Sea". This belief did lead into the Mexican-American War where the U.S. got it's wish of Manifest Destiny