Kashmirology-2 : Demographics of Kashmir

The population divide in the various parts of Jammu and Kashmir is as follows:

Jammu : [ 30% Muslims , 66% Hindus : the Kashmiri Pandits , 4% others]
Ladakh : [50% Muslims , 46% Buddhist , 4% others]
Kashmir valley : [most populous : 96% Muslims , 4% Hindus]

About 135,000 Hindus/Muslims in Indian Administered Kashmir are internally displaced due to militancy
 
These figures would help you understand why the Kashmir valley has been the most troubled area in the entire Jammu and Kashmir region and the one vociferous in asking for independence from India.