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Our only hope would be to switch to developing recon tech and manufacturing as much hardware as possible to gain the most knowledge of each side and help us get smart fast. The more we learn, we implement all of it playing catch up as fast as we can while we still have time. As we start seeing that the conflict is getting to our front door and we have to choose a side, we make a decision based off of what's best for humanity and buy us time. It sounds like both sides don't actually give a shit about anyone but themselves so once we get dragged in, if we survive long enough and see a chance to deal a blow to the enemies or our allies, we focus on maintaining human strength. Play the field, risking human lives as little as possible. Once again, maintain our focus on catching up technology wise, producing hardware (ships etc), and buying time, while risking as little of human life as possible.
Our one hardest aspect of all this has been solved already in this scenario, unifying humanity.