The USA, Western Europe, and China are not rival civilizations. They are one. Despite their cultural, linguistic, economic, and political differences, they are united in a single, global civilization which will go to any length for maintaining its hegemony in the other parts of the world. Their world order is a triumvirate. If one part of the triumvirate collapses, it will trigger a chain reaction that will ensure the devastation of the other two.
History is repeating itself, and it has brought the USA, Western Europe, and China in the situation that is analogous to the triumvirate which acquired power during the final years of the Roman Republic: Pompey, Crassus, and Caesar. When Crassus died while fighting the nomadic warrior tribe of Parthians, the triumvirate was finished, and a civil war between Pompey and Caesar was immediately triggered. The troops loyal to Caesar killed Pompey in the civil war, but subsequently Caesar was assassinated by a group of Roman senators who were jealous of his power.
The USA, Western Europe, and China do not fear each other. They need each other to dominate the world. What they fear is the rise of a fourth force, an entity like the Parthians, which does not play by their rules, which is not in awe of the power of the triumvirate, and which might appear suddenly, draw any one of them into a decisive battle, and cause catastrophic damage to the present world order.