I would like to differ on your point “that not a single kashmiri wants to stay with India.” There is a major chunk that do not want to join Pakistani Union or complete independence, they want greater autonomy within Indian rule. There were kashmiri leaders Like Abdul Ghani Lone, Mirwaiz Maulvi Farooq (Father of current Mirwaiz, Umar Farooq, who was killed by Hizb, he openly opposed pandits being thrown out of valley) and many more who were assasinated by Hizbul Mujahideen, a pro pak outfit. Recently an attempt was made to kill Fazal Haque Qureshi aide of Maulvi umar Farooq, was shot in the head outside a mosque, as he was mediating talks between India and moderate faction of Hurriyat.
Those who dare to speak about autonomy within the Indian rule get killed or assasinated. Thats the main reason you dont hear their voices. Plus, there are lot of main stream politicians parties, like PDP, NC etc like want greater autonomy rather complete Independence.
APHC (All party hurriyat conference) is collection of more than 20 parties, each having different agenda. And there is always diffrence of opinion between these parties. Reason a average indian or pakistani does not hear about them, coz they do not come out openly in public and demonstrate for the fear of getting eliminated by pro pak millitants.
Article 370 of the indian constitution has spoilt the kashmiris. People of kashmir valley do not want people from pakistani punjab or Sindh or balochistan to settle down and buy property in Kashmir. And they know, pakistan will not entertain Article 370 like concession. Ground realities in Kashmir are very different than what an average pakistani or indian sees or reads in the media.