I don't know why random selection is considered the gold standard for jury, yet most peoples look at you like you're some kind of deranged fool if you seriously propose "randomocracy" as a form of governance.
Sortition would be a better approach - elect a list of people who are all "good enough" and then choose randomly from them.
Constitutional monarchs do have their uses; it's good that someone can fire the head of government, especially if the people can invest in the head of state instead.
The US should have one picked from the top 10 Spotify chart. Even if half of them are Canadian.