Another term for "jihad against the foreign invader" is resistance insurgency.

I think Dayuhan raises several good points in his posts. Consider this. Classic resistance is when a foreign invader physically occupies one's homeland. They have defeated one's formal military forces and forced the formal system of governance to surrender or flee. Only the populace is left in the fight. Often such populaces receive assistance from some outside source. In US doctrine that is called "unconventional warfare" or "UW."

In the Middle East I think in many countries and among many populaces we have a virtual form of foreign "occupation" going on. The West post-WWI, and the US post-WWII have applied a mix of physical and virtual occupation by policy; shaping governance in ways that suited those foreign governments and that left the populaces of the region powerless and irrelevant. When there was a greater threat, in the form of a Soviet desire to replace that Western influence with their own, those populaces generally tolerated that external influence. After all, they had tolerated the Ottomans for several hundred years.

But once that Soviet threat faded, and once the empowering effects of modern information tools connected and empowered these many diverse populaces in unprecedented ways, the people began to move on long suppressed resentments. AQ formed to leverage that latent energy toward their own ends, and employed those same information tools to show that a fairly small non-state group could conduct UW just like, or even better than, large powerful states such as Great Britain, Russia and the US.

Now, if one is that foreign power and wants to exercise complete dominion over some place and people, one must simply wage war and crush the people. It works. But, if on the other hand one simply wants to have influence and ensure flow of critical resources and keeping major sea lanes open, then one would be foolish to wage war. The other way to make a resistance go away is to remove the proverbial thorn from the lion's paw. This is a problem of policy. Not the Ends of policy, but rather the Ways and Means.

We must evolve to the world we live in today. This is the essence of "Voom."