That's a really cool system! Wasn't sure at first what was the point of switching positions, but since there are three teams it actually makes sense! Switching regularly give thus good variations in pace, and make for interesting strategies.
there is one main issue though: movements are way too slow! It makes the game a bit frustrating, and also bring confusion to identify clearly which character is controlled by which hand (since it doesn't react immediately). Also the AI doesn't seem very efficient, but I guess the game would work in multiplayer.
Overall I had a good time playing it. Well done! :)