I notice that on a lot of these type of maps that the colors are too close together and I get confused as to what is what. I was looking and thinking what the heck did we (USA) have to do with something down in South America. I can barely read the key but I think it says Bolivia. Maybe they need a different color. I was trying to find what Saudi Arabia was and read it as Ireland and thought "what?!" The reds and pinks get confusing too...they all blend together and I just say it's Soviet. What if you tried something like red stripes and red dots? Larger size might help too, but I don't know for sure.
On a different tangent I am assuming this is a post war map, or at least after 1946 since the Germans and Soviets would be nearly stalemated for a long time (no D-Day = more men on the Russian front) before the Soviets finally over ran them with sheer numbers. So I would think that those Asian Pacific islands might have more US influence than they do since we went island hopping all the way. And with a complete focus on that area I would think that they might stay under the influence and possibly bleed over into southeast Asia and totally avoid the two wars (police action) there. With the US knocking on Russia's back door like that it might prolong the stalemate with the Reich as well. But that would set up a nice little scuffle with China in the future. Japan might be greenish as well since we stayed and did rebuilding there.
Of course, if you are having the US totally pull out of the area then never mind But isolationism was dead by this point so I dunno. Anyway, maybe try the stripes and dots idea - I know it's passe but it's easier to understand.