Agnostic Muslim, some comments..
1. Pakistan "claims" Kashmir, a multi-ethnic,multi-racial,multi-religious,multi-linguist region, albeit with a a majority muslim population based on 2-nation theory. As per 2-nation theory the basis of Pakistani/Subcontinental muslim nationhood is neither territorial, racial, linguistic nor ethnic; rather they are a nation because they belong to the same faith, Islam.
2. India declares Kashmir to be an "integral part" of India, as the Kashmiri King ceded the same to India.
3. Now Pakistan can only "legally" claim Kashmir if a plebiscite is held and majority vote for acceding to Pakistan, pending that plebiscite Pakistani claims over Kashmir are hollow/baseless/speculative.
4. I would also like to point out that the 2-nation theory on whose basis Pakistan claims Kashmir was roundly rejected by Bengali speaking Muslims of Bangladesh and Muslims of India. The alarming number of insurgencies in Pakistan are also a worrying fact.
5. I personally perceive Pakistan's moral outrage and outpourings of grief at "possible or hypothetical" injustices inflicted by "Hindus" on Kashmiris, Muslims or Dalits or any non-Hindu community as being hypocritical, 1-dimensional and unnecessary. Pakistan itself is going through a period of turmoil and upheavel, and hence IMO Pakistanis should first put their house in order and set standards, then be the moral authority to lash out at Indian injustices on its minorities.
6. Supporting fellow muslims against non muslims could be correct as per Quran but Pakistan being a nuclear power, a responsible nation and a nation part of the international community, should realize that Quranic laws do not hold ground in international geopolitics. They ought not to have indulged in engineering a terrorist/freedom struggle on behalf of Kashmiris esp when the Kashmiris have not spoken in favour of Pakistan. The blood of innocents and soldiers spilled by Pakistanis and Pakistani trained militants is inexcusable, unpardonable, and unforgivable. This is not an action commensurate with a nation claiming to be a responsible world power. The world finally and thankfully has condemned Pakistan for such actions and Pakistan too has realised its folly and is now shutting down such terrorists camps. This is a welcome move.
7. Indians have also not implemented some UN resolutions due to a variety of reasons. This is unfortunate. At the same time Indian government is known for not being squeamish when it comes to COIN and tackling terrorism, hence it is possible that at times non-combatants can be victims but such is expected and tolerated. With the coming of Sher-e-Kashmir's grandson's govt. I expect most of the important issues affecting the Kashmiris to be addressed.
8. Personally, I have a feeling India is waiting for an opportune time to end this impasse/dispute diplomatically and to the satisfaction of international community (in its favour).