Nonsense. Read up on what a republic is, what a democracy is, the Federalist Papers (and read all of them, not just the 2 lines your favorite site fed you) and something about the context of when the constitution was written.
The US is a constitutional republic. Congratulations, so is France, Germany, China, Russia, the ex-USSR, Egypt, and a whole host of others. There is nothing more common than a constitutional republic in the world of national governments. What is also true is that the US is a representative democracy, a smaller subset of the super set of republics. This can be distinguished from direct democracies (which are also republics, and can be constitutional), or binding representation, (which are also republics).
Again, there is absolutely NOTHING special about the US being a republic.
The Founders explicitly shied away from establishing a democracy for the simple reason that democracies do not scale beyond a small collection of city states.
And if you'd read the Federalist Papers instead of just parroting someone else, they are EXPRESSLY referring to a direct democracy not scaling. After the initial definition, they just refer to democracies, while implying "direct democracies".
Open government? Democracy? That's a recipe for totalitarianism -- because only the strongest consensus builder can assert control to get anything done and few, if any, checks and balances can be imposed or enforced.
Congratulations. You discovered the principal flaw of democracy. You're only about 300 years late to the party. Voltaire has a nice discussion around what makes a ruler legitimate. You might want to look into it. Once you do, you'll also realize that the US was subject to the same risk from the day it became a nation, because it operates on exactly the principles you decry: openness in operation, democratic election of legislators and executives, and a requirement for consensus-building to operate.
Yes, it's just semantics. But it bothers me because the trend seems to be define things in such a way until only a very small and very vocal minority is allowed to participate in government. Of course, they do it because they are the only ones who truly understand how the founding fathers wanted to run things, and they are the only ones who can save the nation. Now where have I heard that before....