I got it fully assembled and tested out, and shot a quick video. Its running a slightly modified version of the 'sweep' program that is an example of how to use the servo library. Obviously, this program just sweeps the servo back and forth.
I did hook an ammeter up to the servo while it was in use. Sitting idle it used 10mA. While it was moving it used 60-70mA. However, the program it was running does not actuate the servo at full speed (which would be fine for this application). I imagine full speed would draw a lot more power.