You trot them out to play their part and you trot them back. Most do it because of fear, some believe the part. Indoctrination is a sinister methodology. It is the same in totalitarian societies. Parental rights come with humanity.
Parents have the duty to nurture, protect and educate.
With the duty comes the right to choose how you will do this. Freedom to keep the family united, to choose your child's education, freedom of conscience, freedom to practice and pass on your religious beliefs, to seek the best nutrition or medical attention for your children, are basic human rights recognized by humanity in treaties, declarations and local law. These rights and the duty to use them for the benefit of the child are so ingrained that all codes restrict parental authority if it is used against the interest of the child. But, parental rights are so basic and so dangerous that a totalitarian society must take them away. And so, you must send your child to one school, their school, to learn their study program not yours.