Personally, I prefer to "indoctrinate" my own child. I do not like the idea of sending my kids off to an isolated camp that uses such techniques...IF...the film is an accurate presentation of such.
I homeschooled, homechurched, and attended a Bible church with my eighteen-year-old son who is now attending college and considers himself a Christian. I never cared for revival-style (or TV preacher) Christianity, but I know some folks who got saved...and stayed saved because of it. However, a lot of revival style tactics involve route learning and pat sayings. They don't take unless there is regular reinforcement of the same techniques.
Give your child a solid background in the Bible...fellowship within a church that shares your beliefs and is not too legalistic or too liberal...live your life as Christ would want it...and try your best NOT to be a hypocrite 99% of the time, (we all are sinners...there for the grace of God go I) teach critical thinking skills, and the child should turn out all right. No guarantees, of course...but then free will is a gift from GOD and a good example from the parents can do wonders.
Maybe "Saved". I find that many "Saved" people aren't sure why they need a Savior. They simply bought into the Jesus thing because it sounded good. I asked my teen Sunday School class "Are you are good person who occaisonally does bad things or a bad person who occaisonally does good things?". They all agreed they were good. If you are good, why do you need a Savior?
If you want a better idea of what I am saying, download this mp3 and give a listen
Another good example is Ray Comfort's famous "Hells Best Kept Secret" and "True and False Conversions" available here
You are 100% right. We aren't trained to be critical thinkers and that is why we don't truly understand our need for Salvation.