You want the government running search?! That's an absolute horror show; you see the impossibility of neutrality.
Here in Florida, "homosexual teen" would lead to sites about conversion camps. We might just score a Democrat in the governor's mansion today, so that would change. And then change again. Imagine the non-stop public fight over what is and is not appropriate to show in a search. AH! (I'm actually having a giggle thinking about such fighting. "Trannie" would lead to results about transmissions one year, a transexual slur the next, banned altogether the next.)