I think this happens when you choose the "twitchy" stance during character creation. Choose a different one until you're finished.
The twitchy stance is the only one that does not swing the face from left to right. It only tilts the head while facing forward so it's the best one to use while customizing your face. Just tab over to the next page, select it and it will make face customization less annoying. Just change back to the stance you want after you've finished your face.