> Yes, for example, the state-secular religion of the US, which is enforced in public schools, wants to protect children from influences it cannot control, such as homeschooling.
No.
This seems like an attempt at a wise phrase unfortunately mechanistically generated from some recursion and word substitution.
Please try to support the claim if you actually believe it.
Research classical liberalism, the scientific method, liberal arts, music, pedagogy, statistics, almost any field of study; they are not dogmatic in the same way that religion is.
You should read about the history of the homeschooling movement especially in the American south such as Georgia. It has been a sustained effort by conservatives to opt out of the educational system.
Perhaps you have some interesting angle on how state education is somehow parallel? But I highly doubt it. I see a computer scientist's mind at work trying to find a pattern -- a meta pattern perhaps -- to claim understanding. The problem is that I don't see any evidence that the claim has been examined up close. I don't see awareness of historical or educational context.
Tell me if I'm wrong. I see it very often here: Overconfidence without a grounded understanding.
Consider a simpler and rational explanation (for the USA at least): State-based education is funded largely because it is in the interest of the state to educate citizens to participate in government and exist in a pluralistic society. An effective education in democracy does not shelter people from the idea of religion but instead puts it in a context so that we can live together even though we may not have the same fundamental beliefs.