I guess you are looking for validation and some solidarity, but I believe that you are being very selfish.
You complain that the state wants to impose what they want on your children, but so are you. You want to impose your view on the kid who has no saying. And we'll agree that she is just a kid, so she cannot decide by herself. But you have to realize that you are limiting her development and integration with the society (and probably that's what you want).

As much as you want to see as unjustice the way society imposes what to teach to your kids, it is also an imposition when you choose not to include them in the "system" where they will have more options.

Ideally you should combine both, teaching the kid your beliefs, and the ones of the society and let her choose as she grows up.

But no, you want to ensure she becomes a product of your making, converting yourself in the same thing you claim to want to avoid.

It's just my opinion, but I think you are choosing the easy way out instead the more demanding one of combining the normal education with the teaching by example on every day life and respect her decisions as they come, even if you might not like them.