These are good points but I would disagree specifically that other nations want "a more equal world". My take is that they want to wear the crown next, not share it.
Well a more equal world is in the economic interests of those nation, because it will allow them far greater power than they currently have. However a multipolar world is not in favor of the US as it will mean that there's greater competition. Greater competition means that USA has decreased political capabilities, way less influence in geopolitical matters, and a decreased ability to "protect American interests", we can already see this happening to an extent.
BRICs banding together amongst each other to create economic prosperity is the only means for these countries to increase their living standards, and so cooperation is incentivized.
Competition is a zero sum game for these countries, and they know that.
