do you deny differentiation between right-wing and left-wing terrorists? yes? then we're done here
no? then good, al quaeda is a right-wing terrorist org.
however, al quaeda being right-wing is under zero circumstances a plausible connection to being right-wing ideologically. i read your hasty denial of sides as a connection of the two that you view as a threat. other than that i don't see the point of your post, honestly
I don't think one can use American political terminology to describe a foreign terrorist group. Especially one like Al Qaeda. If you compare them to the american political ideas of left and right, they are really all over the place. While they may appear closer to religious right wing groups, their economic beliefs come close to what a liberal would want to. For example, they are not fans of capitalism american style, and would want more government control of the economy, albeit a theocratic control.