We never dealt with the IRA by complete eradication of the Irish from Britain, and I see no reason to treat this problem any differently. Why should moderate muslims be obliged to "eliminate" (however can they do that?) radical muslims.
Schools that teach hatred should be shut down full stop. You are right that they are hiding behind free speach and religion. If I had my way what was being taught to kids in schools would be strictly monitored to prevent abuse and indoctrination of anti-western ideologies. I totally disagree with the concept of religious schools anyway.
You don't seem to realize the severity of the present predicament. Comparing fanatic muslims to the IRA is like comparing satan to a bunch of campfire girls.
The IRA...although ruthless killers...were not suicidal, did not target women and children and did not worship death. IRA members did not suffer generations of inbreading (at least not in all cases) and did not suffer the delusion that allah would provide them 72 virgins with which to fornicate in exchange for killing infidels.
We're dealing here with an entirely new level of insanity..."jonesville" multiplied by a factor of 1000. And there's only one way to deal with it.