If they are against terrorism then why are they not fighting against islam? The more devout a moslem becomes the more of a terrorist he becomes. Even these "anti-terrorist" moslems will eventually have children who will read the koran and figure out that "Fight against the unbeliever near to you until he converts or is enslaved" (paraphrased) means exactly what it says. You cannot separate terrorism from islam because the koran COMMANDs jihad.
Anyone could become a Muslim, and as you say, any Muslim could become a jihadi upon becoming "more devout." Can we eliminate the Koran? Impossible. This is the 21st century. It's all over the Internet, along with everything else.
This is a spiritual war, a war over souls. It is fought with spiritual weapons. Do you fast? Do you pray? Do you preach the Gospel of Jesus Christ?