I'm pretty sure every hacker group has gotten this idea at one point or another. Has anyone even come close to taking down all the root DNS servers at once?
http://www.ripe.net/internet-coordination/news/industry-deve...
For anyone to actually notice, you have to take down all 13 for 48 hours, and it will be another 48 hours after that before there is a complete outage for everyone.
It's going to be almost impossible to flood them all simultaneously. These are machines on multi-gigabit backbone connections, not some crappy back-water FBI or CIA web server.