The questioning of authority is a thing to be embraced in a child as a sign of an independent mind. It is the first step a child takes into the realm of reason. Even though it may be difficult for parents to explain to their children the rationale behind their decisions, it is far preferable to the alternative path of teaching children that force is a way to get a desired result from someone. And also consider the blatant hypocrisy exhibited by a libertarian parent who would profess to oppose the initiation of force against individuals, and yet initiates force against their children. This would appear to be a logical contradiction, and is certainly getting off on the wrong foot for any parent who seeks to instill in their children libertarian or objectivist principles.
Reason begets reason, and the opposite is also true.
That is something parents should remember. It is time that Libertarians realized that the concepts of liberty and youth are not mutually exclusive. We Libertarians have an obligation to stand up for the equal freedom of all individuals, youth included. The fight for youth rights is just as important as ending the drug war, privatizing government functions, lowering taxes, and restoring all of our Constitutional liberties. In fact, the fight for youth rights is an intrinsic part of all of the aforementioned battles.