Very nice! The idea is very interesting and results in a very chaotic chessboard especially on turnless mode. I really like how everything on the board can be pushed around. The main thing I think could be done better would be a better indicator of turn because sometimes the AI can make really small movements and then I don't realize that it's my turn again, especially because sometimes it can be hard to click the pieces.
It really is idea and a great game. Very good job!
Edit: the other thing that would be really great is something that lists the properties of the different pieces such as movement.