It is not a contradiction to say “democratic republic.” What you are doing is arguing “it’s not a vehicle, it’s a car” when someone refers to their car as their vehicle. Elites have pushed this “not a democracy BS” (they really hate democracy.) The point is look up the definitions of these words, it is simply incorrect to argue that this isn’t a democracy. It is a specific form of democracy, not all democracies are the same.
Here is a good post on it:
“This is in response to people who want to assert that the United States is not a democracy but a republic. “Democracy” and “Republic” are not mutually exclusive terms. We are a representative democracy and a republic. A republic means that we are not a monarchy.
Definition of “Republic”: A state in which the sovereign power resides in the whole body of the people, and is exercised by representatives elected by them; a commonwealth. Cf. Democracy; a political system in which the supreme power lies in a body of citizens who can elect people to represent them; a form of government whose head of state is not a monarch; “the head of state in a republic is usually a president” http://www.hyperdictionary.com/dictionary/Republic .
The whole meme that we are not a democracy but a republic is based on a distortion and diminution of the concept of democracy into a single, abstract form of it: a direct and pure democracy. Yes, we do not have THAT form of democracy. We don’t go to the polls to make every single governmental decision.” https://www.facebook.com/notes/join-the-coffee-party-movement/we-are-a-democracy-and-a-republic/434315678538
Think about manipulative elites are that they felt it necessary to push the “we are not a democracy” meme into the public discourse!