Of course, we need to keep one thing in mind...
The only thing that can keep a democracy from becoming three wolves and two sheep deciding what's for lunch is an overriding set of rules that keeps some things from being subject to simple majority rule. In our case, it's the Constitution. In America, a state can't make a law preventing women or blacks from voting, no matter how many vote for it.
Sure, you can change the Constitution, but the bar is damn high, and a good thing, too.
A pure democracy usually ends up as a tyranny or chaos.