Nice work.
I explored a similar idea, and think you did a wonderful job creating puzzles with the mechanic that I didn't even think about. Awesome work.
I agree with JadePhoenix about the movement. I kept forgetting who moved the "normal" way and so my first movement would feel a little stressful. Maybe a differentiator other than color would've been helpful.
And the puzzle curve was pretty steep. I enjoyed it though, I like puzzles. ;)
Nice work though. This is a great game jam game.