Got my Arduino today. Of course I couldn't wait so I went and tried to see what I could do. Whipped up a quick program and hooked everything up;
here is the result. I only wonder if the servo will have the power necessary to make the screen rotate. It shouldn't be too much force, but I won't know for sure till I try.
* EDIT *
In my own hacked up way I managed to test it with a paperclip and some glue. It can move the screen upwards. Down is easy so I didn't care.
* EDIT 2 *
I was just driving the Arduino and such off of USB power as can be seen in the video. I decided to get a 9V battery a try just to make sure it worked fine off of USB. The servo actually has some serious power once you hook it up to a higher amperage power source. I'll have no problems at all with this servo moving the screen.
* EDIT 3 *
I absolutely couldn't wait to have test it actually moving the screen. Here's a
video of the movement in action. I need to put a bigger arm on the servo to get it to swing the screen more, but this is exactly what I was looking for.