Actually we are a democratic republic, look up the phrase democratic republic in the dictionary and look at the first example given.<quoted text>
This is not a republic, it is a democracy. Your vote is just a suggestion for the appointed official. How and when this changed from our founding fathers, I am not sure and do not really care as it is futile.
The whole popular argument that we are either a democracy or a republic are both wrong, we are both, always have been.