All though I don't have a fear of flying, I have encountered many people with the same fear. What I always tell them is that I have probably been on over 100 planes in my life and I have yet to encounter anything the pilot was not able to handle.
This being said, your chances of being in a plane crash are 1 in 11 million, you have more of a chance of dying in a car crash every year which is 1 in 6,500. In all reality air planes are a very safe method of travel. If it is a fear of heights that gets you nervous just don't look outside the windows and you'll be fine.
The best way for me to overcome your fears is to just dive right in. Most people are not a big fan of public speaking, but, if you go first you get it over quickly and then you realize it wasn't that bad.
The point is, the only way to overcome your fear is to know that there is a good chance nothing will happen, you have experienced professionals that know how to handle specific situations and to just do it, the sooner you try it the sooner you will realize it is nothing to worry about.