Thanks for the feedback! Maybe I should be more explicit about the controls, because I've found quite a few people complaining about them.
It's not a typical twin-stick with absolute directions, the controls are more like Asteroids, combined with twin-stick shooting. You can shoot in any direction at any time, no matter which way you're facing. With M+KB, the bullets should go toward the mouse. With controller, the bullets will fly in the direction you're tilting the right stick.
If it's the steering that's throwing you, A and D turn the ship, but thrusting with W is how you actually change the direction of movement- again, like Asteroids.
Unless I've misunderstood you, that should, I hope, clear up any confusion :)