What can LeT or JeM do without local support viz. arms transport, accomodation. money, food, secrecy, protection, information? Nothing. Therefore you have to focus on those that provide local support to terrorists, and treat them as no less than terrorists. In fact, worse. Because they are Indians and they are acting against India's interests. Such people should be publicly and swiftly hanged.
I would not bother about "sentiments of a community" as I am only targeting supporteres of terrorists, whosoever they may be. And I would be ruthless with them.
Sadly, you don't talk about this. The government dare not. That is sadder.