But the price! You get a more sharply class-minded society, fretting about the signs and signals of belonging to one group or another, including the attending sociolinguistics. Besides, inherited merit is hardly the right message to send about democracy; rather a blatant contradiction of its foundational principles. You want an apolitical leader? Have an elected monarch, a ceremonial President under parliamentary democracy.... And then there's the added bonus of the separation of church and state.
I dunno, but having that sort of mixed messaging around could promote wild swings, like leaving Europe to go on an imperial jaunt down memory lane.