well, getting baptized and going to church does not by default make you christian.
It is your entry into the community.
Children are incapable of making moralistic and ethical decisions and so the initiative process is the foundation for learning. Obviously the parents want the same connections with the child and so the child can be no other than who s/he is by being with their parents.
It is the parent's responsibility to nurture the child in every aspect and what they have as a belief system will only naturally be transmitted to teh child as well. When the child comes to understanding of what's going on, it is up to them to choose to either continue or find another path or leave a path entirely.
Whatever you are initiated in becomes a matter of choice eventually. If even a modicum of self examination is employed in one's life. Pretty much most of us have a stop and think about what's what and how and where we fit with it. That's life. Letting children choose for themselves would be disasterous.
ibid: lord of the flies