They will not stop until there is an American Hiroshima and, after that, an Islamic America...so we cannot stop and we cannot expect that our efforts overseas will address this issue. Their are at least two fronts in this war and we are really active in only one.
Since the source of jihad is Islam (not extremism or radicalism), our government must start working with muslims in this nation to change the nature of Islam. If that part of Islam which produces hatred and jihad and the desire for the world domination cannot be purged from Islam, we must construct detention centers and start the process of expunging Islam from this planet by making it an illegal religion.
Can this be done and, if so, how? I have no idea. The point is that we must try or western civilization will eventually be dominated by Islam.
Ummm, I think a good analogy is the KKK. How big a threat are they today after the FBI infiltrated them, prosecuted them and generally made life miserable? I'm sure there are still KKK sympathizers, but they've largely melted into the wordwork. The fact that their heads will figuratively be shot off everytime they poke them over the parapet makes it difficult for them to recruit, retain and get out their message. A similar approach to Islamofacism woul achive similar results.