Hmm I'm going to be that person but I think there are too many variables here for anyone to really say. What is the nature of the war, where is it being fought. If it involves war at sea, the Space Force are probably screwed. What are the assumptions about rules of war, for example could the Air Force win in a couple of hours by launching several missiles that will wipe out millions of the civilian population as well? Are we assuming each of these groups with their real resource levels or are these being standardized to allow for a comparison of skills, tactics and training? So the answer to could 100 marines win a war with 100 soldiers might be different to can the USMC win a war against the US Army.
So many questions...