ML

I see three broad categories of insurgency (all three of which exist in Iraq, btw and each requires a unique approach to resolve)

1. Revolutionary: To overthrow or change the policies of an existing nationalist government through illegal means.

2. Separatist: To break some part of a sovereign nation (or tribal territory) off and bring it under new and distinct governance through illegal means.

3. Resistance: Efforts of a populace to overthrow a foreign presence that is controlling their national governance. Again, these efforts are through illegal means.

Both of your options fall under option 1 here. These can come in a variety of blends.