No, it does not. The Fourth Amendment prevents "unreasonable searches and seizures" -- there is no explicit right to privacy in the US Constitution. The Supreme Court managed to find one, though (via a "penumbra of rights"), for a specific politicized purpose, but hasn't been willing to take it seriously otherwise.
There are a few current court cases against the NSA surveillance in the US, but none got anywhere so far.
Yesterday I was using the Global Terrorism Database to check some suprisingly low figures on what percentage of terrorist acts are committed by Muslims. (Short answer: Worldwide since 2000, about 80%, rather than 0.4 - 6% as given in various sources.) But I found some odd patterns in the data for the United States. Look at this chart of terrorist acts in the US which meet GTD criteria I-III and are listed as "unambiguous":