I do see compilation of history, data, vital statistics, etc. as a valid role for the Federal government so that there is a secure, permanent, and lasting repository for that information, and so that there is one single central source where it is available when needed. Private businesses can merge with others, go out of business, move off shore, or any number of things that would make them dangerous as the only source for vital statistics. And to hire a private business to do the exhaustive research necessary would be extremely expensive, probably cost prohibitive, or at least much more difficult to coordinate even if the states went in together.
But however that part is done, we do agree that we do not want the Federal government to have any power whatsoever to indoctrinate the citizens, most especially the children.
"I think the best way of doing good to the poor, is not making them easy in poverty, but leading or driving them out of it." --Benjamin Franklin 1776