Be careful: this is the exact same line of reasoning the alt-right uses to conclude ethnostates.
Or if you want to take the intersectionalist view to its conclusion: Maybe we should have a White President to govern white people, and a Black President to govern black people, and a Muslim President to govern Muslims, and a Fat President to govern fat people. Wait a second, what about fat white Muslims, shouldn't they have a different President than fat black Muslims? Degenerate down only a handful of dimensions over which people vary, and you'll need a President for every individual. Wait a second, we just rediscovered the concept of individual sovereignty.
Or if you want to take the intersectionalist view to its conclusion: Maybe we should have a White President to govern white people, and a Black President to govern black people, and a Muslim President to govern Muslims, and a Fat President to govern fat people. Wait a second, what about fat white Muslims, shouldn't they have a different President than fat black Muslims? Degenerate down only a handful of dimensions over which people vary, and you'll need a President for every individual. Wait a second, we just rediscovered the concept of individual sovereignty.