India has 1.2 billion people, of which 14% are Muslim. That’s 168 million Muslims, some significant percentage of whom will likely go nuts if India kills a bunch of Pakistani Muslims.
And India is run frankly by a bunch of duplicitous and corrupt political actors - which means they are not much unlike other western democracies.
It depends on what type of Muslim
Not really. India and Pakistan have gone to war 3 times and each time Indian Muslims supported India. And many of the soldiers and airforcemen fighting Pakistani militants now ARE muslims