How is that possible if the wings are stationary? Are you saying the thing
will take off due to the pure power setting to keep up at 25mph (or
whatever), nothing to do with the wings?

What we're saying is that the wings aren't stationary. The airplane moves (and
accelerates) forward, just as if it was on a normal runway. The speed of the airplane
relative to the treadmill belt doesn't matter.

Let us pretend we fly a plane over the treadmill at 80mph, and run the treadmill belt at
80mph the other direction. Now, if the airplane touches down, the wheels are going to be
spinning really fast, but the airplane just keeps moving along at 80mph relative
_to_the_ground_. It certainly doesn't slam to a stop because 80-80=0. Relative to the
treadmill belt, it's doing 160.

Now let's do the opposite. Let's run the treadmill in the same direction that the
airplane is going. Now, when our airplane touches down, the wheels don't turn at all--and
yet the airplane is still moving along at 80, relative to the ground. Google for videos
of planes landing on top of moving cars.

And, if you watch this
(http://videos.streetfire.net/player....D-D6BA1A43A06B)
video, you'll see that, if you have a rolling object powered by an independent (ie,
non-surface-friction) power source, it will move at the same speed relative to the earth
regardless of the motion of the surface on which it is placed. Watch how the skateboard
starts to move forward, then the cloth/paper/whatever it is is pulled out from underneath.
The skateboard doesn't even slow down.