Don't know exactly how it was done or which tools were used, but from the author's comments at YouTube it looks like the animation was not done manually, i.e. rotating the moving parts one by one in small steps, to achieve the final animation effect, as I initially thought.
Somehow it seems the tool used, was able to propagate the movement across the gears and into other parts!???
"...I think it is properly rigged to work mechanically. For example, when you set the angle of the top steering wheel all the connected gears are calculated and turn appropriately and end up turning the wheels' steering."
One way or another, it took about 22 days to render the overall video in POV-Ray...
From the above, I guess it was not used in conjunction with the remaining LDraw tools suite.