I'd rather have just the head there, too. The primary purpose of this screen is giving information, and the full soldier view is more of a distraction, I think.
usually, this screen is accessed from the soldier equip screen anyway, so the full view is just one click away. at least in the battlescape.
as I mentioned somewhere else, in my "vision of a perfect x-com", the stat screen would always be paired with the equip screen, even in the basescape. no matter where you access one or the other, clicking the rank icon (top left) would switch between "stat" and "equip".