The avowed goal of Al Qaeda is
to "unite all Muslims and establish a government which follows the rule of the Caliphs." The underlying rationale is the overthrow of what it perceives as the corrupt and heretical regimes of the various Islamist states, and their replacement with regimes that are based on the rule of Shariah (Islamic law). Al Qaeda is vehemently anti-Western, with the United States of America perceived as an enemy of Islam. Al Qaeda seeks to overthrow nearly all Muslim governments, because bin Laden regards most of them as being corrupted by Western influences. Another rallying aspect for the Al Qaeda network is the ‘liberation’ of Islam's three holiest places -- Mecca and Medina in Saudi Arabia as also Jerusalem.
http://www.satp.org/satporgtp/usa/Al_Queda.htm
Are these the specific "political" goals of which you speak?
"Over the past five years, the Al-Qaeda has evolved from being a regional threat to US troops in the Persian Gulf to a global threat to US as also other countries it perceives as being enemies of Islam."
They may not want to take over the US but they definitely want to do us harm.
I would also point out that I am talking about all [Islamic] extremists here, not just Al-Queda. Again all one has to do is study the nature of the religion and how it is woven so tightly into their government to see what is desired. Anyone who is for some sort of Christian government over here really needs to take a long look at what the religious extremism has done over there.