The vertical bar would displace to the left as you said...but as you rolled into a bank it would center back up, so when you reached say 25 degrees it will be centered. As you near your selected heading it will move to the right, causing you to lower the angle of bank to achieve a smooth rollout.

As far as I know, there is no standard bank angle it will shoot for beyond short turns, which would vary from airframe to airframe (and could possibly even be pilot selectable).