Almost all European countries have some form of official religion. To say Russia’s Orthodox is state run is meaningless - Europe was co-founded by the Christian church - not the faith but the actual institutions - be it Catholic, Orthodox or Protestant. So your dig is meaningless and actually anti-Christian and European.
Nonsense. In most European countries the connection to the official church is nothing more than a remnant of history at this point, with little practical meaning anymore.
That is not the case in Russia, where the government actually exerts control over the church leadership and uses the church as an unofficial wing of the government to further the state’s goals.