"Western world" is usually used today in the sense of "developed nations that speak European languages".
That would make Russia, Serbia and Ukraine Western, which they are clearly not. The Orthodox/Catholic boundary is important.Russia, Serbia, and Ukraine, are not necessarily "developed nations":
https://en.wikipedia.org/wiki/Human_Development_Index#/media/File:2014_UN_Human_Development_Report_Quartiles.svg The Catholic/Orthodox boundary is important, but it doesn't tell the whole story: I think most would definitely consider Greece to be a "Western" country, even though it is overwhelmingly Orthodox.
I think it is more interesting to look at how Brits and Argentinians viewed each other in 1983 than some abstract definition of Westernness - and then realize that the concept is viewed differently in different parts of the area settled by Europeans.
Fair enough