You are acting as if these children's parents did not pay tax. They only get their own tax money back to spend it on their children's education as they see fit.
What you propose is that we remove money from parents (through taxation) and force them to sent their children to school that you (or whoever) approved.
> Again, I am not against religion but I am against someone imposing their religion on others--even their own children.
You use the word indoctrination rather funny. It looks like to you, indoctrination is any teaching of anything which is not approved by you.
A parent should have the full authority to teach his child whatever values and beliefs it is he wants the child to believe. It is not the responsibility of the state or you or anyone else to determine what a parent should teach his child.
You are against a religious person teaching his beliefs onto his children. Yet you are for imposing your beliefs onto the children of other people.
If you want to educate children in your beliefs then you can get your own children or adopt some – but do not try to force other parents what to do.