Hi, for starters, your bike should lean less than your body.
I couldn't quickly find a similar head-on shot of a pro cyclist. This is the best I could find:
velonews.com photo
However, even if you have great technique, if you can't get over the fear factor, then cornering fast will be difficult. You can try to build confidence by practicing in a quiet industrial park on a weekend to build confidence. Find a relatively short loop and keep doing laps. Be sure to go clockwise and counterclockwise so that you practice right and left turns.
I'm sure Racer Ex will eventually contribute to this thread with more and better advice.