I think it takes more than money (i.e. culture). There's also a lot less integration between the West and Russia/China than the countries within the EU. In general, I think it takes a lot of time. Actually, the more I think about it the more I think it's quite complex, so too hard to go into all aspects here.
Then of course, as for China VS West, AFAIK there hasn't been any wars for almost a 100 years?
I also think expectations are set too high. Let's not perfect be the enemy of great - some tension is probably inevitable (Greece VS Germany, UK VS rest of the EU). But the trade war between China and the US (as media likes to put it, or at least did for a few years) is a lot (like, infinitely?) better than a real war.