Very interesting take. Also very difficult; it needs time to get used to. Maybe try spawning less objects at the beginning and spawn more of them as the points go up - a difficulty ramp bit similar to Tetris? Speeds of the objects could also be adjusted and ramped up along the score.

The controls are bit tricky, my main problem is that you have to move in big increments. Sometimes I would/did get hit both by staying in place and moving, but if I could have moved to the in-between points I could have perhaps avoided getting hit.

May I suggest mouse control; mouse position could determine the location of the player in degrees relative to the center; left clicking would fire and right clicking would pause. This way the player does not need to move between keyboard and mouse when switching between menus and game play. Also I think it would be more intuitive. Although, with the mouse, you probably would need to implement some kind of inertia system so that the player movement is not instantaneous as it follows the mouse.

(If you keep the keyboard controls as is, it would be more clear to say: "Move anti-clockwise: A" and "Move clockwise: D", instead of saying "left" and "right".)

All in all great idea; you could develop it further.

Are the controls reversed on purpose?