And you know the jihadis are out to take the world over from what, exactly? Who told you this? Is it possible to convince you that the entire "war" is a fraud, based on laserlike focus on a few nutballs? You have confirmation bias - you have your conclusion ready, and everything is either true or not true, depending on whether it confirms your iron idea that jihadis are trying to take the world over. They are not. The war is every bit of a fraud as the one against commies, the anarchists, the trade unionists, the socialists, the Spaniards, the Philippines, Mexico, Cuba, drugs, copyright crime and every other confirmation-bias "war" we've ever waged. None of them were actual wars, and none were ever a threat to us, especially in the precise sense that they, in fact, issued threats to us. Our "threats" are perceptual and grown in our own minds; rarely are we threatened. We misuse the word to justify our madness.
The people who are fighting us in Iraq and Afghanistan do so because we attacked them. The few who aren't there and actually do attack us with actual bombs aren't trying to advance Islam and impose sharia on us. They are pissed off because of things that we've done - people and nations we've killed when it suited our purpose. Americans willfully refuse to listen to what they are screaming about; we'd rather have jihadis and a worldwide conspiracy to blow up with drones rather than rethink our history and our actions. We're a perfect storm of an violent empire that cannot intellectually grasp the fact that it is, in fact, a violent empire, and so we react insanely.
I don't know. It is impossible to change a person's mind, and infinitely more difficult to convince a nation that it is slaughtering innocent people while undergoing a gargantuan hallucination.