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Now, let's assume that Pakistan is able to conquer Indian Jammu and Kashmir - not just the Kashmir region, but all of the disputed area, including where Hindus make up a majority. Now, from anecdotal experience, I can tell you that the Hindu-majority population of the Jammu Division is quite pro-India. I doubt that any sort of ethnic cleansing of Hindus will occur - Pakistan would never be willing to kick out one million people, who make up a majority in the south of Jammu and Kashmir, and you'd need a pretty damn horrifying Pakistani government to do that.
Now, could this pro-Indian Hindu-majority portion of Jammu and Kashmir be as resentful of Pakistani rule as the Kashmir Valley is of Indian rule, and could this turn into a large insurgency, with pro-Indian militias emerging?