Pakistan has been interfering in North East teaming up with CHINA and in J&K. When she got the opportunity, she cut it to size. Nothing to do with religion madness and frenzy.
Bhutan : Bhutanese Army and economy is financed by India. After annexation of Tibet by China, India took the defence of Bhutan ( population only 797,765) in its hand while Sikkim merged with India.
Afghanistan : India's had strong relation with Afghanistan during cold war. India does not want free run of Taliban in Afghanistan ( Hi-jacked plane to Kandahar episode) and so has been extensively investing in the Afghan economy and institution to make it strong and secular country run by modern rules as against dark age dictates being propogated by Taliban.
Sri Lanka : Tamils and Sinhalese issue has a history running hundred of years. The refugee issue needed to be addressed . Nothing to do with the religion mumbo - jumbo.
Muslim Countries who have no border to Burma and are very distant are falling each other over the issue. With support of China they can do a shit to Burma. China will ensure that the curse of jihadi culture stays far away from its borders and its land. It will protect Burma and Burmese policies and so would Russia and West.