India is also a country with deeply traumatic memories of Muslim-Hindu strife in the recent past which led to the violent breakup of the whole country into India and East and West Pakistan and Kashmir, and cost a great many lives. Indians are deeply afraid of religious strife within their community, and with good cause. The Muslims are a minority in India, and they would suffer the most by far from Hindu retaliation if any Muslim acts of terror were committed there. That, in itself, is a strong enough reason for them avoiding triggering such events.

And yes, I think you're right that it will be a multipower world. North America/the EU/Russia/India/China So much the better. They may achieve a degree of stability and cooperation through mutual deterrence.