The video is the brilliant work of YouTuber XXxOPRIMExXX. He created and uploaded this video back in 2010, but YouTube blocked part of it over copyright claims.
I had to take out the famous scene of Slim Pickens riding the bomb and the nuclear holocaust credits to have this video viewable because those scenes were taken directly from the movie. I was hoping to have the Slim Pickens scene done in Lego by now but I just never had enough time or effort to do it, maybe some time in the future. Enjoy.