What I think you are looking at in the top picture, top right hand side is a brushless DC motor, which would be controlled by output from a computer that would tell it to turn a certain number of revolutions in a specific direction. It is likely that the drive gear never does rotate 180°, so rotating the drive gear may work.
The concern would be why the gear wore out. It is obviously being overloaded, which could either be a processing problem in molding the gear or it could be that whatever the actuator is trying to turn is not turning a freely as it is supposed to.
At any rate, it would definitely be worth a try. The only downside I see is expending the time to remove the actuator.