That's funny. I'm a Russian citizen and we're brainwashed the same way as you are only in the opposite way. I think you all are well aware of the Dulles Doctrine, which describes the U.S. actions against the USSR. So we have every new domestic political problem in the country looking for guilt in the US, China and Ukraine.
I think we should stop looking for enemies outside of our countries. The enemies are closer than we think.
I don't know if I'd say we're brainwashed in the same way, you're probably a bit more brainwashed (or attempted brainwashing, that is). That's not me saying you believe it, I just think the stakes are higher in a country like Russia when it comes to making people believe what the government is saying.
But yes, while the countries of the US and Russia may be the enemies -- the people shouldn't be enemies. I may hate the Chinese government, but that doesn't mean I should hate the people of China.
We do the same thing here -- I think every country does that -- blaming others (outside of their country) for the issues going on.