You happen to be incorrect.
Each member of (Russia, China, United States) is uneasily wary of the other two.
The key is not to let any two get too close to cooperate in ganging up on the third.
The other key is to realize how much of our economy was shipped lock, stock, and barrel to China;
and how many of our politicians are owned by the Chicoms.
China is a far greater threat to Russia as well because they have 3 times our population, and have polluted the living hell out of their land and water; and are right next door to resource rich and sparsely populated Siberia.
They have the common interest of not wanting to be held in thrall to the petrodollar, though.
Wars make very strange bed-fellows. Just because they may not see eye-to-eye, they main join forces in order to split the spoils of war. I can see a China, North Korea, Iran and Russian alliance if things really get testy for Russia and NATO decides to do something.