There is an age old struggle between the ideas of Republicans and people who believe in Democracy. Elitism vs. Egalitarianism, as expressed in William A. Henry's essay, "In Defense of Elitism".
Let me explain, one, the idea of a "republic" (a state in which the supreme power rests in the body of citizens entitled to vote and is exercised by representatives chosen directly or indirectly by them.) is that some people are the "entitled to vote" elite deserve to be treated as superior
elite: the choice or best of anything considered collectively, as of a group or class of persons.
The idea of a "democracy" (government by the people; a form of government in which the supreme power is vested in the people and exercised directly by them or by their elected agents under a free electoral system.) is that egalitarian ideal.
egalitarian asserting, resulting from, or characterized by belief in the equality of all people, especially in political, economic, or social life.
I hope this clears up the differences for those who haven't bothered to look the actual words up before.