Mednafen on Windows with TG16-Mini USB Controller. Playing as the Axis (green). The strat here is to keep your is to iteratively offer up one of your units as bait and then surround/destroy their units. First your Charlie (their Rabbit), then your Rabbit (their Rabbit and Grizzly), then your Bison (their Polar and Seeker). Keep your Hunter away from their Seeker and only put it in range of their Hawkeye when you're attacking it.

I don't think it's possible to beat this one in fewer than five turns (It usually takes me six.), but time could be saved with more decisive action, and possibly some more optimal surround/support attacking.