With historic sites in the US, people give up rights when they take government money to maintain them. If someone hasn’t taken the money, let them do as they will. The further this country strays from its history, the less significant many of those sites would be.
And yet, the argument could be made that preservation of those sites may keep us from straying as far as we otherwise might. Preserving our history keeps us in touch with it.
I've heard Mark Levin, for example, frequently recount the inspiration and sense of awe and reverence he felt as a child in Eastern PA visiting Independence Hall. Would he be the same conservative voice had he not experienced that in his youth? I don't know, but I'm guessing it wouldn't be quite the same.