It is conceivable that AGI will want to form its own government, but it is likely that people will still want to maintain their own government, so the stupidity

It is conceivable that AGI will want to form its own government, but it is likely that people will still want to maintain their own government, so the stupidity will persist. AGI doing the work to facilitate the activity in the human government will not change the fact that operation of a human government is to the will of the people.