That's not even realistic. India is part of BRICS, and one of the main goals of this group is to increase trading between members. I agree part of Indian society doesn't like it, but it won't make any difference.
I'm sorry but that's a very naive take. That's like saying OPEC nations are always cooperative because they're part of the same economic organization.
OPEC has nothing to do with economic integration, it is just a group of countries setting oil prices. G7 countries deceive themselves if they think BRICS is just another OPEC. You should think of BRICS as a multilateral Belt and Road initiative.