https://www.nytimes.com/2019/09/19/world/asia/pakistan-kashm...
https://www.reuters.com/article/us-kashmir-poll-idUSDEL29179...
My family and the clan is from that region as well, and just about every family friend has a relative that has died. Jammu, Himachal, and Northern Punjab also have some of the highest per capita rates of per capita Armed Service volunteers in India, so every village or town or family will have a Shaheed/Martyr, which only exacerbates the bad blood. For example, when I go to my dad's village, immediately after crossing the Punjab border into our state you start seeing statues and banners in memory of Shaheeds who died in 1999, 1971, 1965, Uri, Pathankhot, etc. Add to that illegal rifles are very common in the region so there is always the potential for bloodshed to occur. There are generations of bad blood in the area and no one will budge an inch (and who can blame anyone on either side to be honest - when family members die it becomes personal).
Buddhists tend to Ladakhi (a Western Tibetan group). They are closely related to the Baltis (a Shia Western Tibetan group), but there is some bad blood between the two groups, but Ladakh has tended to remain relatively conflict free religion wise (Indian Armed Services and the PLA fight there instead, just like the Sikh Empire did against the Qing Dynasty there in the 1840s (https://en.wikipedia.org/wiki/Dogra%E2%80%93Tibetan_War)).
There is generations of bad blood, and a lot of people with small arms and light arms training. Shit gets real very fast.
PS - I am talking about the Indian side as I have first hand experience there. The Pakistani side is actually Jammu, so a different ethnic group from Koshur. Also a lot of army recruiting from that side into the Pakistani Army. The entire Punjab, Pakhtunkwa, and Jammu Kashmir region has always had a very active martial tradition - think of a Cotton Hill type mentality from King of the Hill.