Independent Kashmir is a pipe dream. If magically India and China give up their claims can a sane person really expect Pakistan to allow Kashmiris their freedom? Looking at Pakistan's human rights record, probably not.
Kashmiris - whether they Might be Hindus ,Muslims or Sikhs , want to remain as a part of India and India only. The rest is terror campaigns funded by Pakistan to disturb the Peace in India.
I like how you say they would vote for "annexation" by Pakistan, as if you yourself don't want to give them the option for a free state lol.