Hm, could the controllers from Segues be used for this?

Don't they keep an object oriented in a manner similar to what is described, right down to the slight lag or smoothing?

Granted, the Segue controller does this in one degree.

I wonder if what I picture happening when you put one Segue controlled motor on each axis of the gimbal is actually what would happen.

I think you could even leave them with default sense of "up".

...The Terminator's eyeballs.