That's mostly right, but I think they are succeeding. That is why so very many of our youth, and adults in generations after us have become so embroiled in materialism and moral turpitude. And it is liberal indoctrination in the schools that is doing it. I truly think that anyone sending their kids to public school in this day and age are committing abuse.
I agree with most of what you've said, but will side with
@XenaLee in saying that some people have little choice, so I wouldn't call it abuse.
I should add that when our kids were in school (they're in their thirties, pushing forty now), there were still public schools with a number of Christian teachers who continued to teach right from wrong and didn't indoctrinate to the left. That's why we were able to send them there.
Three of them were Salutatorians and one a Valedictorian and they all gave Commencement speeches (approved by the administration) that pretty much straight preached the Gospel. I know it was an exception even then, but schools like ours used to exist.
Since then, it's gone precipitously downhill and we would definitely not send our kids to public schools now.