You cannot wipe out an ideology by killing people ... especially people that are 1.5 BILLION strong and increasing exponentially in population, a certain percentage of which are coming of age every day and are radical.
We wiped out ideologies in Japan and Germany. How? By killing them until they gave them up.
Mesopotamian civilization was destroyed. How? The Mongols killed them and made a pyramid of skills on the banks of the Euphrates.
The Spanish put an end to the Aztec ideology.
It is clearly doable.