I would prefer not the robes, crown, ceremonial pieces and roles, thank you.
I would however, liberally enjoy a custom tailored shirt, shorts / pants and shoes ensemble.
And the ability to smite people, and nonbelievers with an orbital sat. kill cannon. Nothing pompous like the death star.
Also, my title would be: the 'First Citizen'.
Anyone who disagrees would be smited on the spot. And then the crater where their body and or remains once stood would be smited again just to send a message.
Add in a small, and modest mansion isolated from people with a wrought iron spiked fence, hounds and cameras as security with the dankest of wi-fi and tributes of the latest tech / books of my whimsy, and everything would essentially run like normal.
People would not even notice that I'd rule the world. Except for say a few places and people being orbitally bombarded and turned into a glass floor that needed it a long time ago.
EDIT: In other words, I doubt we'll rule the world as grand or as "logically" as others think we would as we're still human, prone to vices and turning virtues into vices. At most, INTPs will simply change a 'few things here and there', but let everything run it's due course.
The worst mistakes in this reality have been due to people thinking they can 'cheat death out of its due', 'help everyone senselessly', or 'change the laws of this world' to suit them.
Or become a 'god' because they were born into the world.
In other words, humans are animals.
Some wisely make a place for themselves while they can away or in the jungle.
Some animals need to be put down.
And as for the rest, let the animals consume each other.