It's national interest of China and Russia to see the West to fail. Why would they co-operate? They are willing to murder people, West and their own, so "law" enforcement means a bit different in international context.
It is China's national interests to see a stable America that can continue to maintain the post WWII world order that benefited China so much for so long. Without the US, who is going to maintain peace in the middle east, Africa and other places? without such peace, how could China export its goods and services?
"West" != America.
Your claim also implies that China and Russia are operating on the same level. That is laughable at best - Russia is a failed rogue state with the economic size comparable only to a Chinese province, it is left behind in ALL modern techs and its military hardware are aging fast. It is the complete opposite of the path took by China.
They have a fundamentally different government and social model, basically a one person dictatorship that feels the need to micromanage and control their populace.
They absolutely love seeing democracy and businesses associated with it fail because it reinforces their perspective of the CCP model being superior and thus strengthens their perceived legitimacy (or even inevitability) of CCP control over China.