if you talk to michelin directly they will always advocate 4 tires. I watched that video as part of a training seminar with michelin/bf goodrich, goodyear, bridgestone and falken
before showing the video i believe their words were "if you MUST put two tires on" but they never recommend only two
the problem is as stated before, your best traction does need to be on the rear of the vehicle exactly as shown in that video. but you also need to rotate your tires.
just yesterday i had a customer come in with a $1200 set of LT tires where two had worn out after 12k miles.. i called up goodyear, the first thing they asked was for history of tire rotations. after verifying the tires had been rotated, air pressure was correct and the alignment had been periodically checked, goodyear gave him an $700 credit towards new tires. in my experience if you dont have documented rotations, you can kiss any sort of mileage warranties goodbye
also the video shows the lesser of two evils. think about it, the way the rear tires give out on the "wrong" car... do you really want those tires on the front of your car? you may not spin, but you still have greatly reduced steering control and stopping ability.