By all means, name all the presidents who cannot be traced back to a king.
If what you say is true, there should be many presidents and vice presidents who are related to John Q Public.
Hamilton held the attitude you suggest, for a while, that aristocrats should rule over the people. He was disabused of this attitude by the vast majority of the framers, and went on to write his 1/3 of the Federalist Papers, fully supporting the concept of “We The People” as the ultimate sovereign entities in these united States.