The title of the office is "President of the United States" not President of the American People.
Well said.
I keep thinking about blending the Electoral system with the primary system. Winner of a state gets two Electoral votes, and the remainder of that state's Electoral votes would be prorated over the popular count. The only problem with this idea is that a scenario like 1992 (Perot) or 1968 (Wallace) would likely result in an Electoral College nightmare.