I know quite well what a Republic is. However our "Republic" is a Democracy. That is like saying "I'm not tactical, I prefer to be strategic".
I understand the one side of the argument that states the U.S. is not a Democracy because we elect representatives who, in turn, make policy decisions on our behalf. However that is also similar to people who claim Buddhism is a Religion, when it can be argued it is not. It is a matter of the interpretation of the core definition of the term. We could play word spin and the definition game till the cows come home, but it serves no purpose in the greater argument.
Our "Republic" of elected representatives are guided by lobbying dollars and special interest, not by the people who elect them, so in essence we don't have either a true Republic or a Democracy, but instead a Fascist Nation.
Main Entry: de·moc·ra·cy
Pronunciation: \di-ˈmä-krə-sēFunction: noun
Inflected Form(s): plural de·moc·ra·cies
Etymology: Middle French democratie, from Late Latin democratia, from Greek dēmokratia, from dēmos + -kratia -cracy
Date: 1576
1 a : government by the people; especially : rule of the majority b : a government in which the supreme power is vested in the people and exercised by them directly or indirectly through a system of representation usually involving periodically held free elections
2 : a political unit that has a democratic government
3 capitalized : the principles and policies of the Democratic party in the United States <from emancipation Republicanism to New Deal Democracy — C. M. Roberts>
4 : the common people especially when constituting the source of political authority
5 : the absence of hereditary or arbitrary class distinctions or privileges