system
Given the following post, respond as if you're commenting on Reddit:
human
[Harry Potter] Why don't wizards rule the world?

They can fly, teleport, heal injuries, summon materials from nowhere, and control minds indefinitely. They have enslaved, subjugated, or marginalized many intelligent species. They can read minds and travel through time. Aside from a "Muggles would want magical solutions to their problems" remark that a barely competent half-giant uttered, how are wizards not running the world? Why do they hide?
gpt
Wizards do rule the world! Wizards control all the important magical resources, no wizard has any want for anything, and there is enough to go around that we can afford to use magical talent to explore tombs, write books, and even push the limits of magic itself. Plus, if there's ever a case where Muggle interests push against Wizarding interests, remember that the Minister of Magic has the ear of the head of Britain, which means a peaceful solution that benefits wizards is always reachable.

Plus, wizards as a whole agreed and are kept bound by Merlin's Laws (and the magic inherent in them and the governing body of the Ministry as a whole) to keep the wizarding world and the non-magical world separate. A single wizard that violates that turns all the rest of the wizards against him. Thus, the group as a whole is kept bound by the ancient laws, keeping them from dominating Muggles, and individual wizards are kept bound by the threat of all the other wizards turning against him if he decided to oppress muggles. 

Additionally, what would a wizard want from a Muggle, even assuming that a wizard was dark and powerful enough to overcome the governing body of the wizarding world? Muggle technology is freely available and isn't even impressive enough to the average wizard to bother with replacing his magic and wasting his time figuring out, and the sort of things muggles can offer are nothing compared to magical power. 

In short: 

1. There's rules against it. 
2. There's a group that will turn on you if you break those rules.
3. Muggles don't have anything good.
4. Wizards already rule the wizarding world, which is the only world worth ruling. 

EDIT: As an aside, the intelligent species that wizards have enslaved, subjugated, or otherwise neutralized have one thing in common: magic, either innate or capable of wielding it in some way, often in ways wizards can't control or emulate (goblin forging, house elf magic, centaur prophecy). When humans do show magical potential, they are whisked away to Hogwarts to be trained and made part of the magical society, for the betterment of the magical society. Since magic is the most powerful force in the universe, wizards control all magical beings, including magical humans. Controlling non-magical humans is boring and a waste of time, and would generate ill-will and has its own problems, as discussed above.