@Niloy005 Southern Europe, yes, but that's included in my first definition. Perhaps North Africa, although it's a shame what's happened to Egypt.
>the western ideal itself is pretty new and liberal
When people refer to "the West", they're basically saying "traditionally Christian, White European places". The liberalism aspect is new and it's rather unfortunate. The American sphere of influence includes Korea and Israel and Japan, but they're not The West in the sense I'm referring to.
>but europe alone was so divided despite being christian.
Life is more complicated than simple agreement over core beliefs. The fact that said beliefs exist and were shared and understood enough to allow for disagreements in their minutiae speaks to the greater shared cultural identity of The West as much as it may seem odd to an outsider.