The assertion that "the US did try to bring China and Russia into the fold" is also quite acutely wrong. Remember when Yeltsin tried to join NATO after the end of the cold war, or how even Putin tried to integrate into NATO and the Western system? Who was it, that was vehemently opposed to that?
Even more so is the possible Eurasian integration which US grand strategy has always seen as one of the worst case scenarios for US hegemony.
You could call that a failure but you should assess on why it is one.
The US China strategy was also always very obvious, open up their huge population for capitalist globalization and keep the sleeping dragon in a perpetual state of democratic dysfunction and underdevelopment (just look at India). What the US didn't expect was the iron grip of the CPC on power and economy, fully rejecting US planned shock therapy. The moment China became a state that could even think about challenging US hegemony was the moment the US completely pivoted to an aggressive containment strategy.