The desire for “a true free republic where individual freedom is paramount and no man is a king” is not part of the patrimony of faith left for us by the Apostles. Instead, we are told “fear God; honor the King” (1 Pet 2:17).
The Vedas teach that the ideal government is a righteous king - a Rajarshi - which is a combination of the two words Raja - king, and rishi - wise holy man.
A society where dog-like men (no offense to dogs, they are what they are, but people should not resemble them) elect other dog-like men leads us exactly to what we have today.
Of course, kings or other rulers who are dog-like are not better. The problem is really with animalistic immoral people, not exactly the form of government.