Suing General Alexander would probably do more harm than good -- this stint in the private industry is likely just another carrot on a stick that he's offering to the world's greatest hackers.
"Work for the NSA and you get will leave with a very powerful patent portfolio, and (most importantly) minimal risk of getting sued!"
"Work for the NSA and you get will leave with a very powerful patent portfolio, and (most importantly) minimal risk of getting sued!"