We don't need to arm regular police since there's not a lot of gun culture except for some UP, Bihar and MP. Post 26/11, most major cities did establish CT or SWAT units who are decently equipped while NSG also setup 5 hubs in Mumbai, Kolkata, Hyderabad, Chennai and Gandhinagar apart from their HQ in Manesar. States are more relying on these units rather than requesting central help. For instance, the 2015 Gurdaspur attack has been solely led and handled by Punjab Police SWAT unit despite NSG being on-site
A few examples below
Mumbai Force 1
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Punjab Police SWAT
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Nagaland STF
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Telangana Octopus Commando
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Karnataka Garuda Commandos
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Arunachal Pradesh STF
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Chattisgargh STF
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Some units like Mumbai's Force-1 have been trained by Israelis and are decently equipped. Again, not every state has a highly effective CT/SWAT unit though except for some basic commandos and the numbers are currently unknown. Given the threat level, these units should suffice as a first response but if it's spread across multiple locations, they'd obviously have to call in NSG
As for peace in Kashmir, ton of countries have troublesome regions. Same goes for your western front but that warrants a whole new discussion. Let's stick to solely equipping JKP SOG in this thread