I never fly - it makes me puke for England.
I can understand why some people feel nervous of flying now - I do not think it is being over-emotional. This has been such an out-of-the-ordinary and shocking event that we would not be human if we did not mentally apply it to ourselves, as some of the posts on here recognise by imagining the feelings of those poor people.
The dust will settle and hopefully airlines will learn some lessons. They cannot predict for the unpredictable, but now that this has happened they have a chance to think how to avoid it happening again.
There are no easy answers - giving airlines the right to stipulate that they can see medical notes is in many ways a retrograde step and, as others have said, may discourage pilots from seeking medical help. But, on the other hand, they do need to be able to get a real grip on the health, both physical and mental, of their pilots.