In my view one has very little relationship to the other. A patriot has love of country and a desire to protect the nation and its citizens from harm. A politician has a love of self, and will go to great lengths to protect his or her stay in politics.
A politician is leader in state, senate, congress, or president. A patriot is someone who lives, breaths, and believes in his/her country no matter the state it is in, and would do anything for their country. Not an exact definition, but close enough.