Alright, kemosabe...
See, "Once Upon A Time", there were these Ten Families living in a Village, okay?
And these Ten Families agreed together that they would all use the same standards of weights and measures in contracts and so forth, and that if the Village were ever attacked then every Family would send out a man with a rifle to defend the Village, and that the Ten Families would meet together in a Village Council, from time to time, in order to adjudicate disputes.... you following me so far?
But, see, there came a time, in the course of a Village Council, when Seven of the Families made up their minds to Impose a Ruling that all of the Ten Families should be required to provide a tithe of their income, every year, in order to hire a certain Mr. Karl Marx who would teach the children of the Village about Evolution, and Homosexuality, and Abortion, and all sorts of fine stuff; and if the Three Non-Consenting Families didn't like that, well, then, the Seven Families would require them to pay the tithes to Mr. Marx anyway, whether they liked it or not (on threat of imprisonment and taking their children away)!
The Moral of the Parable is this (in question form) -- You are a fundamental believer in the morality of Totalitarian Theft and Kidnapping, as a proper system of governance. YES, or NO?
Before I debate you, I just want to be clear on this.
Best, OP
Do I think parents have the right to neglect or mistreat their children? No, I don't, and if they do, society has the right to step in an enforce minimal standards of treatment, or if necessary, remove the children. Your liberty gives you wide latitude to act in or even against your own interests. It does not give you wide liberty to hurt others.