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.
Hamilton was but one of many. If you have some free time, I recommend diving into the convention notes found at the library of congress. It’s quite fascinating learning what the framers really thought during the construction of the Constitution.
Either way, Hamilton got his wish. All but 1 president had royal blood tracing back to the English crown on his father’s side, and that president was none other than Martin Van Buren. Even though his direct paternal bloodline traced back to the Dutch crown, his grandfather on his mother’s side was linked to William the Conqueror. Ironic? Coincidence? Or design. You choose.