There's also the League of American States but it's kinda boring to me in that it's pretty much the Western Allies of WWII without any direction as to how to get itself entangled in Europe's wars.
The League of American States is about protecting the Western Hemisphere, its goal is to not get entangled in Europe's wars. Thats kind of the point. That said considering that quite a number of factions seek to enter the western hemisphere *points to the International* you will likely get yourself involved in European affairs. Not to mention dealing with Japanese ambition on the pacific and the various fighting going on in latin america. So it should not be boring.
Yeah, I like this idea, but it should also depend on who's in charge in the Reichspakt and Entente if that makes sense. And the Internationale for that matter.
Unfortunately HOI4 as it is doesn't really have the features to model that, it's not really a Cold War game.
I would LOVE a KR Cold War, though. Internationale and Reichspakt at odds, with the West being Syndicalist *NATO and the Reichspakt being conservaitve or socdem? That would be an interesting twist on the Cold War and would make for a very different outcome IMO.
One of the concepts I love for a Cold War Scenario is a divided US at the rockies between the PSA and either the CSA, AUS, or MacArthur's America.