I think we share far more common threads than we ever allow ourselves to acknowledge. It seems that the political climate prefers that outcome in the general population.
No one is always liberal or always conservative ALL OF THE TIME. I don't care who you are, you're never one OR the other. And, furthermore, those classifications are not universal- they're very subjective, depending on who you are and how you view society. If you base it on how outside sources measure them and attach them to individuals and groups, then it's even less reliable. Then, you're allowing those sources to pick and choose outcomes.
@tarheel0910 made an incredible suggestion about our voting process being based on issues. Instead of voting for a person, your ballot is a list of issues and you choose how you stand on them. That is how our election/voting process could have a game-changing impact to our society, and in a hurry.