There are some posts about making an in dash mount motorized, but most of them are vapor-hard-ware.
I have that mount, and if you look inside, you can see that there is already a rack and pinion gearing in there. I was thinking some kind of stepper motor in there, to turn the pinion, but never figured out a way to get the screen to tilt up once out.
I was also thinking that maybe you could attach a screw drive to the bottom of the back of the monitor, and have it push the monitor out. Once all the way out, the trigonometry of the thing would flip it up. Then just retract the screw arm and the screen would hide the monitor. This would need almost twice the clearance in the back though.
Space is pretty tight inside the mount too. I don't really know where you would be able to pack anything else in there.