The CIA should plant a few bombs on the Chinese side of their borders with Russia and India. Set them off at the right time and make them think their enemies started it. It would then be too late for their natural enemies to go wobbly.
China declaring war on Russia might actually be a good power move for them.
They take territory rich in resources, and no one would condemn them for it.
Russia would immediately use nukes though, so a nuclear exchange between China and Russia would be a serious issue.