al Qaeda is not anti-Imperialist. They are imperialists themselves. Since the US is not imperialist attacks against it or its interests are not anti-imperiaist.
al Qaeda does not view capitalism as the world's oppressor. They have not mentioned much in the way of economics at all.
As is often the case in capitalism, American's actions around the world support the rest of the world's interests
even more than they support their own interests. But not Europe's... India, China, and Brazil's:
yearly percentage increases in petroleum consumption averaged to 2025
"destroy the cock-sure, money-orientated, imperialist principles they believe it is built upon" I believe the psych term for this is "projection": that's not what al Qaeda wants, that's what YOU want, and as you admire their strong horse you want to empathize with the parts of them you find intriguing.
al Qaeda wants to BE the cock-sure etc. They believe that Allah has willed the actions that take place and that they are merely the triggers. They believe they have the upper hand.
If you cannot believe this is wrong, I feel sorry for you.