At work, we generally have a clearly distinguishable chain of command and responsibility so it would be absurd and unfeasible for someone to appoint themselves as the boss and make decisions. In every walk of life, we have a clearly demarcated line of authority, at work as a result of experience, success and expertise, and in public life because of a fiat by the people.
No country can have two rulers; it is a sure recipe for confusion and disaster.