Yes, and this is one of the reasons I don't want the government involved in education at all. But, since they choose to be so involved, I find myself feeling that government spending on education should take the value of that education into account. But you're exactly right, in that it's hard to actually do that.
In the end, there are no perfect answers to any of this, it's just a question of "which variables do you optimize for?"
I'd say that any education that "produces" a graduate with a specific ideology has failed in a sense. I'd like to think education should be somewhat neutral, presenting a NPOV and that people would make up their own minds what they value most.
Otherwise, you have to ask "is this education, or indoctrination?"
In the end, there are no perfect answers to any of this, it's just a question of "which variables do you optimize for?"