Ernest, it's a "REPUBLIC" form of government, not "REPUBLICAN". Or if you prefer, "A Representative form of Government".
A Democracy form of government means that a majority winning vote would control the outcome for every issue or person voted for.
We have an "Electoral College System" for presidential elections. Some presidential candidates have won the popular vote (majority vote), but lost the electoral college votes and didn't make it to the White House. A pure Democracy form of government can't succeed. Eventually every type of minority possible would be wreaking havoc in the streets.
it is a republic, true, but it was a republican form of government that WAS a mixed government
Section 4.
"The United States shall guarantee to every state in this union a
republican form of government, and shall protect each of them against invasion; and on application of the legislature, or of the executive (when the legislature cannot be convened) against domestic violence".
madison makes it clear in the federalist #10 that there is a republican form of government and a democratic form of government, with the democratic form of government full of factions combinations, meaning full of special interest which is a bad thing, ......where as a republican form has less faction.
in a mixed government , how politicians are elected is divided UP , the house by the people, the senate appointed by the state legislatures, and the president elected by the EC.
this prevents our politicians from being elected by 1 single group, because to have them elected by 1 single group would cause tyranny.
our president is elected by electors, chosen by the parties today, in early america the electors were chosen by the people, and the electors vote for the president the second week of December, and sent a letter to the house the first week of January informing them of the results of the vote.