>>20616408India is pulling a USA: sitting out the conflict between the two major blocs so that it's left as the last one standing when all is said and done. The USA didn't come in until the end of both world wars and did so to mop up the blood and take over everything, particularly in WW2.
India doesn't need to reach USA levels of per capita income. It just has to remain standing, have a large population, and be militarily powerful. If that happens, then per capita income growth will follow after the West and Russia-China knock each other out in the fight.
And the next superpower may well never have USA levels of median or mean income. That's not necessary to rule the world, but more like a bonus.