Do you think that Congress should be dominated by only two parties? In the British Parliament, no single party holds the majority, therefore each and every party has to compromise with each other to hold a majority, that every person affiliated to a party "wins."
It would be like the Republicans, Libertarians, Tea Party, and Anarchists work together to propose or pass a bill, or the Democrats, Green Party, Socialists, and Communists work together to propose or pass a bill. In each scenario, they will have to work together to get things done, making it more fair. That's what they do in Britain, so it is not a radical idea. Actually, I think they do it in every government where there is a Parliament.