Should the federal government be able to be involved in public education?

The only real monopoly is government. It maintains its position by force. It forces people to pay whether they want a service or not. It forcibly excludes competition. It is run for the benefit of the producers, not the consumers of its services. And the quality of the service is always going down while the price goes up. And it colludes with other governments as to how much it's going to rip off the people.
Source: "Man, Economy and State" by Murray Rothbard

The biggest problem is that it's mostly your neighbors who enforce this, constitution or no constitution.