They don't, but Parliament is still democratic in nature. No process is perfect, but perhaps that method is onto something. Our process doesn't hold back third parties, the two major political parties do that.
Our votes aren't direct either. We go through an electoral college that speaks for the sum votes of its regions. When I voted Obama in 2008, my state electoral colleges went Republican. That means my vote didn't count.
Parliament's process isn't too far off. By comparison you could say ours is way shadier. Parliament has direct representatives that must sway their regions directly. The people see who represent them. US citizens must do some fairly deep research to identify the electoral college members that represent their state.
I'm sure the electoral college counts the votes square for their states, but how would we know if they didn't? To most americans they are an enigma, and they have made it a point to keep it that way.
To swing back to the forum topic real quick: Victoria Jackson is a moron.