No. Not that easy. They use VPNs offshore chained together not to mention the off shore vps' they have. Of course they would use protection when even just getting on Twitter, so a phone call from the government would do very little as the give would receive an IP from somewhere offshores that doesnt give a damn about US law, providing time and security to lulzsec.
I wonder how secure those VPN providers are. Regardless, my bet is that these guys will get taken down via a Kaczynski vulnerability. That is, someone that personally knows them will figure out that they are responsible and report them to the authorities.
"David Kaczynski had once admired and emulated his elder brother, but had later decided to leave the survivalist lifestyle behind.[74] He had received assurances from the FBI that he would remain anonymous and that his brother would not learn who had turned him in, but his identity was leaked to CBS News in early April 1996."
I doubt they use only "paid for" services in their chain. There are very likely normal user-boxes (like your moms) and "forgotten" servers involved as well.
It's not easy to back trace when you have to send in someone to do forensics on a computer.
