A democrat is a person who believes in the rule of the people. If you think students should have a say in what courses they take in school, then it's very likely that you're a democrat.
A democrat was a word that originally referred to a republican in the French Revolution, or someone who opposed the aristocracy. The prefix demo- means "common people." Democracy is a political system promoting the rule of the common people over the rich or elites. It presumes that every person should have a say in choosing who gets to represent him in government, and should be involved in promoting his own rights. A democrat is a person who believes in democracy.