I only recently learned about parallel construction: http://en.wikipedia.org/wiki/Parallel_construction
Basically, the NSA is suspected to cooperate with other arms of the government, such as the DEA. The NSA supposedly provides information about who is involved in what illegal activity. Apparently this information is provided illegally, without a warrant. So if the DEA gets info from the NSA, the DEA needs to make up a story about how they came to possess that info, since that info was collected illegally without a warrant. That's parallel construction.
I don't know whether NSA would bother with a target like Anonymous, but it's not outside the realm of realistic possibility.
The biggest question is, how did the FBI identify Sabu? He supposedly revealed himself by visiting the website 2600.com, and selling stolen credit cards on Facebook. But how did visiting that website reveal Sabu?
Actually, now that I think about it, the best explanation is probably the simplest: 2600.com probably runs forums, and Sabu probably posted to those forums from his home IP address like an idiot. So the FBI simply demanded his IP address from 2600.com.