I think the main interaction should remain (you can hit whenever). The tricky part with the 2 balls swinging around is to keep it from being annoying. Like, if I think I lined up a shot but the balls end up going off course cause of randomness then that will feel bad for the player.
How are you playing it - what browser, and mouse or keyboard for menus? I've seen the button animations be a bit weird on mobile, but in chrome everything seems fine to me. Could be your mouse and keyboard fighting to have a highlighted button (might modify the cursor logic to hide the mouse when a key is pressed)