Thanks for the ping. I know many Orthodox, many of whom are American converts, who believe quite firmly that a God annointed monarchy is the appropriate order of society. Certainly there are substantial minorities in places like Greece, Bulgaria and Romania who hold this position. My own family in Greece does. I've met a few monarchs, one even a reigning one. The only one I met who I thought might well be the annoited of God for his people isn't even a Christian. The Christian ones, Orthodox and Roman Catholic, though arguably OK guys and a couple even actually or potentially good for their countries, didn't impress me as being or having the potential to be in fact Christian monarchs.
As for state churches, well I am convinced that they are bad for the state. Certainly that's true with the Church of Greece and Greece is a Republic! The opposite is more common and equally true in my opinion.
This does not go to the argument being made. Surely we don't say that the American system is good when Reagan is president but bad when Carter is, or even that Reagan was necessarily a better Christian than Carter; in some respects it seems that the opposite was true. Likewise, I don't know anyone who says that monarchs are better people than the rest of us. Well, in one aspect they are, in that they were brought up to govern, but this is again a systemic argument.
Put it this way. What is the simplest way to improve the government now? I answer that, as Aquinas would say. Tell every elected politician that the position he currently holds is his for life, unless he chooses to resign it. When he dies or resigns, the position goes to his firstborn, again for life, etc. The mere elimination of the need to sell government services to voters will do wonders to the quality of government we are getting.