Republic does not equal freedom or liberty. It just means there are no Kings, Queens or Emperors.
See the Roman Republic (before Caesar) vs. Imperial Rome, (after Caesar).
For instance, Terry L. Jones is a professor of history, and he was talking about American history and its "democracy", not Iranian history and its "republic".
I would submit that many feel that the idea of our Republic does equal freedom and liberty. Which is why I capitalized Republic in my original post, to differentiate from the wanna-bes.
Sorry about the effluviant in your Wheaties this morning.