But is it Facebook or the magazine that ripped and modified the video the one at fault? Issue a DMCA to Facebook and sue the magazine for copyright infringement. And next time post it yourself.
Destin mentions in his "intro to freebooting" video his various attempts to contact Facebook regarding the piracy, and that it was only removed after a Twitter campaign led by his viewers: https://youtu.be/L6A1Lt0kvMA?t=3m49s
I don't know much, or have any experience with DMCA, but it's my impression that if there's a copyright violation on Youtube, the video can be taken down very quickly, and the burden of proof is then placed on the uploader to get it back up.