The Amarnath yatra has been going on for the last 150 years - courtesy Kashmiri Muslims hospitality. The shrine itself till recently has been under the custody of A Kashmiri Muslim Family
Jammu Hindus play no role in organizing the yatra.
Even in the present situation, the yatra continues unaffected while these Hindu fundamentalists in Jammu blockade Kashmir.
If Jammu and Kashmir has to split up into two separate states, then bye bye yatra1