We have actually seen how safe Pakistan is safe for minorities especially Hindus, Christians, Shias, Hazaras and Ahmedis. Systematic elimination. So organising an festival for few remaining thousand species isnt a big deal. Thousands visit Amarnath yatra in a year. Your "brothers" expelled Pandits from Kashmir valley for being a different religion. Kashmir used to a Hindu spiritualism hotspot. When people converted they turned on their former selves. Something to be proud off for you I guess.
As for Babri Mosque, there was no prayers since 1850's. Archelogical survey of India has done its own research and it has submitted an report, that it was built over an temple. Even the same temple pillars have been used to build the mosque. Dont believe me? Check your google for Qutb minar, Kashi mosque pictures, Babri old pillar pictures and you will know how it was built.