I don't pray for my twin brother. Not because I hate him. But because I don't have one.
Our prayer book has prayers for the president and those in authority. They're generic, however. The 1979 BCP could have revised the prayer to read, "our president, Jimmy Carter," but it would have had to be changed the folowing year. Yet the earlier books of common prayer did just that. They didn't drop the earlier king because he was now out of favor. He was just... not king anymore.
But I don't even agree to pray specifically for those in authority by name. Remember, the first should be the last. The teachers should be the servants. The Church should pray for all mankind and specifically our enemies. For that is what Christ commanded us to do. A 'politically correct' church -- and that goes for all of them -- is not a church as far as I am concerned because it puts our preferences before Christ! Nothing earthly should be above what God taught us. We can do no more than teach what He taught. Everything else is human corruption of His message.