Could India take it all? They basically did in the 1971 war when Bangladesh was occupied and the Indian army twenty miles from Lahore when it stopped.
Hang on, in 1971, Bangladesh was East Pakistan at the time, which was why the Pakistan army was there. That was when Bangladesh was fighting for independence, and the people spent six months fighting the Pakistan Army to try and get independence. The Pakistan Army was busy trying to prevent this, and engaged in some brutal repressive techniques.
It was a civil war/war of independence (delete according to taste), and it involved some of the most egregious acts of terror it has ever been my misfortune to witness. Into this, once the monsoons had cleared, the Indian army came, ostensibly to restore order (which they did with a level of competence and professionalism that was praiseworthy). They may well have had other motivations, although as a lowly Royal Marine stuck protecting the British Embassy while the Hell was going on around him, I didn't pay much attention to deeper political questions.
The Bangladesh people welcomed the arrival of the Indian army, because the Indian army put an end to the terror that the Pakistan army was inflicting upon the Bangladesh people.
I make no claim to being a dispassionate, objective observer of that particular passage of history, but your statement is not in accord with what I witnessed.