I noticed you switched from talking about al-Qaeda to the Taliban. The Bush administration tended to group the two together, but what's a good way of looking at the two groups?
The relationship between Al Qaeda and the Taliban is also complicated, and I'm probably in the dark as much as you are. My understanding is that they've never seen eye-to-eye, but apparently bin Laden was responsible for bringing the groups closer together. Al Qaeda has often resided in Taliban territory, with the latter's permission and protection.
Taliban: group of people looking to form a government.
Both have the goals of some kind of extremist Wahhabi-law region.