You're making the common mistake of confusing a Republic with a Democracy.
A Democracy has no representatives. All issues are voted upon by the people. There has never been a Democracy above the tribal/village level. In fact, a Democracy is just a small step above Anarchy - as it is a more organized form of "mob rule".
The Founders set up America as a Republic ... in part because they didn't trust the average people to make "the correct" choices. If they could have been sure a Monarchy wouldn't have become corrupted, they would have set America up as one.