

Thanks for your effort!
The way I see it, most of these conflicts can be boiled down to the Communist bloc trying to establish Communist rule while the Western bloc tried to maintain the previous, non-Communist rule. In those cases, I’d say that both sides equally fought a proxy war to achieve their own respective goal.
Take the Greece Civil War for example. You say it is on the UK and the US. For helping the existing government fight a Communist uprising, which itself was supported by the Communist bloc? I’d say it is a perfect example of both blocs supporting their respective side. Hence, I’d count it on both. Both blocs were in a global struggle to increase their respective sphere of influence.
You say the Iran crisis of 1946 is on the USSR. I’d instead also attribute that to both, as it is part of that larger struggle for power between the two blocs. As in Greece, one bloc supported the faction trying to spread Communism, one bloc supported the side trying to uphold the current rule.
That’s true, but the other bloc was still run by a man called Stalin who himself was not very cautious when handling his opponents (and also collaborated with the Nazis when he deemed it beneficial for himself). For a political opponent, it might not be so important what political ideology locks him up in a prison camp.
My point: at that time, you’d have a hard time looking for someone that fulfilled our ideals from today.