Apparently you have not read our Constitution which guarantees us a "Republican form of Government".
It is amazing to me the number of windbags who say that the US is a Republic because the Consitution guarantees such. Then some even post article 4 which they have apparently not read. It guarantees the STATES a republican form of government. It says NOTHING about the federal government being one. READ.
Now I do believe we are a Republic tho not a pure one. A pure one, as Jefferson in his day said, could only exist in a small area where all citizens could decide on laws.
Madison was inconsistent, later joining Jefferson in his opposition to the rest of the framer's federalists. Republicanism was actually a rallying pint of those OPPOSED to the consitution such as PATRICK HENRY.
And during the Convention which framed our federal Constitution, Elbridge Gerry and Roger Sherman, delegates from Massachusetts and Connecticut, urged the Convention to create a system which would eliminate "the evils we experience," saying that those "evils . . .flow from the excess of democracy..."
NO one knows for sure what was said at the convention because members were sworn to secrecy. Madsion did later say that some wanted a king.....we didnt get one did we.
Read Federalist #9 to see what Hamilton thought of historys Republics, he equated them with Democracys, as did most of the peopulation of the day.
Franklin wanted a one house legislature and no president.
Democracys/Republics require knowing the will of the people, which requires voting. Mobs dont vote. Some of the framers tho not all may have had an irrational fear of the comon man being involved in politics. They were wrong.