Throttling the ideology is essential, but it could take several decades to do it successfully, and we may not have that kind of time. Right now we're in survival mode, and that means taking more direct action. .....like aggressively looking for and booting out all Islamic non-citizens, not allowing any Muslims from anywhere to immigrate, and annihilating (without naive concern for "hearts and minds" that can never be won) any regime that sponsors/supports terrorism. ....for starters.
Not only not allowing Muslims from anywhere to immigrate, but sending them all back to their home country hell holes.
And the necessary kind of men we have not, too. The academia produces tones of pulp "scientific" text on alleged fundamentalist Christian (very bad! very bad!) influence over the West's foreign policy, which leads to Muslim "disenchantment" and the terrorist plots.
They produce this pulp mainly in the Ivy League universities, but the international lefty crowd includes this BS in the curriculum even here, in NZ.
So once again, who'll throttle the alien and evil ideology, when the enemy is right among us?