Most Western media wrongly includes Jammu, Ladakh and other parts of J&K in their coverage of Kashmir. Google "12 million people + Kashmir". The population of the Muslim-majortiy Kashmir Valley is 6.9 million.

Interestingly Pakistan demands/consider all of Jammu, Kashmir and Ladakh to be Pakistani territory. There is maybe a case for the Sunni Muslim-majority Kashmir Valley joining Pakistan but I don't think other parts of J&K will join them.