Agreed on the need for another Yak variant for Moscow, but I'm unsure what can really be done here seeing as the -1b wasn't in service until midway through 1942, some months after our current date on the TAW map. Likewise, the numbers of them in the skies would be limited due to being a one-off collector's plane, so I don't know to what extent, really, this would help Red out. I know the series 69 Yak-1 in BoS's base content may not have flown over Moscow, but perhaps it's a better fit? Though, we'd still run into issues of realism/historical accuracy, as the engine that plane sports likewise wasn't around 'till 42 - I don't know much about the plane otherwise, so maybe you all could better judge whether it should be around.
Just gonna go out on a limb and say that German pilots flying one F-4 at a time isn't going to win the war for anyone. Air to air combat is practically useless for moving the lines anyway. Can they really kill attackers/bombers that much better than anything else? I'm not convinced.