Gorm,
(Ps. 61:3-4), "For You have been a shelter for me, A strong tower from the enemy. I will abide in Your tabernacle forever; I will trust in the shelter of Your wings."
(Rom. 12:1-2), "I beseech you therefore, brethren, by the mercies of God, that you present your bodies a living sacrifice, holy, acceptable to God, which is your reasonable service. And do not be conformed to this world, but be transformed by the renewing of your mind, that you may prove what is that good and acceptable and perfect will of God."
God does tell us to shelter our children, just as He shelters us. Again, I would not allow my children to play near a highway. Little children are just too young to understand the dangers. I think a 13 year old is too young to understand the dangers of the internet.
Proverbs tells the young man to not even walk down the street where prostitutes stand. I honestly think many a young man is walking down the street while on the internet.
As I stated before, I pray that parents will protect their children and get a filter.
By the way, their are some children who "go wild" as you say, when they have their restrictions lifted. But after 20 years of working with young people, far more, and I mean FAR MORE children wash out spiritually and make very poor life choices when they are not sheltered.