The disregard for the physics of the situation is actually quite insulting. The "demonstration" is so far from realistic its not even worth a debunking.
Here is an example of what this man is claiming to have done, actually being done, by a team of engineers working for years:
Great video. Notice the difference in the motion of the wings? So much more fluid and natural than the flat and rigid motion of the video from the Wired article.
It's an entirely different mechanism, hence the difference in movement. Note also that the wings are powered by peddling, whereas the birdman has accelerometer-controlled wings (individually controlled, rather).
Here is an example of what this man is claiming to have done, actually being done, by a team of engineers working for years:
http://www.youtube.com/watch?v=0E77j1imdhQ