Politicians should represent the entire country and that is why I strongly support compulsory voting. Politicians should be forced to govern for all. That means people you disagree with and people you consider uninformed. That is also why I believe prisoners and convicted felons should also be given the right to a vote. If someone is going to pass laws that affect you, you should have a say in who that someone is.
Their votes (for any value of them) are just as important as yours and you should come down off your high horse and reconcile yourself with that reality.