Al Qaeda is not and never has been a "terrorist organization."

"Al-Qaida,(sic) literally 'the database,' was originally the computer file of the thousands of mujahideen who were recruited and trained with help from the CIA to defeat the Russians," admits former British Foreign Secretary Robin Cook, whose Foreign Office portfolio included control of British Intelligence Agency MI-6 and the Government Communications Headquarters (GCHQ), in a column published by the UK Guardian newspaper.
(http://www.guardian.co.uk/terrorism/story/0,12780,1523838,00.html)

In other words, the so-called "Al Qaeda," which was misnamed and misreported by Government/ Media as "The Base" (not the "database") and then promoted by the Government/ Media Cartel as the cause of all bombings and terrorism since the destruction of the World Trade Center in New York on September 11, 2001, is simply a database of CIA trained "terrorists" (or "freedom fighters," depending on your perspective) which has become a convenient Global Boogeyman for the 21st Century.