Exactly. It's so funny how people speak of establishing "democracies" in errant places such as the Middle Least, when we are ourselves a republic. Mike is absolutely correct that this is superior.
It's easy to wonder even how many American politicians have conveniently forgotten or never coherently understood this little detail. It makes all the difference in the world. We should remind people of this, and what it means, early and often. Among those who have forgotten what we are stand anyone calling for popular election of Presidents, and anyone failing to call for repeal of popular election of senators.