Other than Somalia, the United States is the only UN member country in the world that hasn't ratified the UN Convention on the rights of the child, which provides for education as a fundamental right. I think that preponderance of assent suggests the US position is incorrect.
The whole problem with the mentality of goods and services being a "right" is that they use resources that aren't those of the one who is receiving the good / service.
No, I think the U.S. has it correct and the majority of the rest of the world has it wrong. Rights are not things that can be purchased, they're not things that cost money to acquire, rights are freedoms to pursue, not something that is a service that is owed another. I shudder to think of a future where people feel others owe them goods and services, this is why so many are struggling, the failure to face reality.