Countries with strong ideologies aim to export their ideology that they perceive as the ‘best’. Arabs did it with Islam, Europe did it with Christianity, the Soviet Union did it with communism, the USA is doing it with capitalism.
Religious ideologies work the same way. Saudi Arabia tries to expand its Sunni Wahabism and Iran its Shia ideology.
Because Saudi Arabia has no rich history, its ideology is based on the strict application to the Islamic law as a way of life with a capitalistic approach in line with the USA: Malls and Mosques. Iran has a long history of civilization so its ideology is more complex and progressive in the interpretation of Islamic law and contrary to Saudi Arabia, it attributes an importance to art and self-analysis in the social life.
Somehow because of history, Sunnism is viewed as conservative, capitalist and business oriented while Shiism is revolutionary, socialist and intellectual.
Of course these ideologies once exported , are supposed to be adapted to the local customs, yet their “world view” remain the same.
Turkey has more resemblance with Iran for its history and has a good dose of secularism injected by Ataturk but I think Turkey is still a very conservative moslem country in the rural areas. In a way, Turkey is like a wilder Saudi Arabia: Malls, Mosques and…Whisky.
In summary, I think, all countries that consider themselves as powerful would give the first priority to export their ideology and way of life (whether religious or social). This is often done in subtle and insidious ways by using the weaknesses of the target country and many cover ups in order to develop a grassroot that may spread the ideology further. While important to maintain their power, economical relation has less priority for religious ideologies.
I think this subject can be discussed forever…