You better go read the history of this nation’s founding, and specifically, you had best read the arguments put forth in the Federalist Papers. You are 100 percent wrong.
That would be like existing the head of the executive branch is "the Chief Magistrate, and NOT a President", because people in the 1780s preferred to use the former term in their writings.
The founding fathers frequently said they opposed an ABSOLUTE democracy, but the United States is not an absolute democracy, it is a represetnative democracy (if it were an absolute democracy where "majority rules", then all 310 million of us could vote on whether Obamacare should become a law)
A "Republic" is a nation with an ordinary person as head of state and not a royal person like a Duke or King. It has nothing to do with freedom or rule of law. Many Republics in the world today are dictatorships and one-party regimes. A "Democracy" is a nation where the people are the ultimate source of authority. It has nothing to do with majority rule. In fact, I can't think of a single industrialized democracy in the world today that uses absolute majority rule. Look it up in Webster's dictionary and it will confirm for you what a "Republic" and what a "Democracy" is.
If you disagree with it, your argument is with the dictionary, not me.