I don’t understand the practicalities of your proposal. If I understand you correctly, the government should ensure that all children have exactly the same opportunities, regardless of their parents’ lifestyle and economic choices.
The question is how the government does this. Suppose a socially-aware public defender with two children reads to them, helps them with their homework, makes sure they have enough to eat, etc. In contrast, a crackhead spends his days searching for drugs and ignoring his children.
How can the government provide equal opportunities to these children, given the choices made by the two parents? Even if they go to the same school, the former’s children are supported and encouraged. The latter’s children suffer because drugs are the focus of the crackhead’s life. What’s your proposal?