This is the very situation that has arisen for "moderate muslims" to declare that jihadist muslims "aren't real muslims" and therefor it is hate speech to refer to ANY jihadist terrorism as "Islamic" in nature. Not making the claim that all muslims are terrorists, but too many muslims deny that any muslim has engaged in religious inspired violence. This from a society that has its own word for holy war.
I agree. So long as the Muslim faith has no central authority to define their faith tenets and whether those claiming to be Muslims are, in fact, Muslim faithful or whether they should be ex-communicated, then the entire faith is tarred by the terrorists. I would like to see some reforms that permit Muslims to make authoritative declarations on behalf of the faith in the same manner as Christian faiths do—or at least some Christian faiths do.