To answer the posters question, they already are.
I was speaking to a chap who is involved in changing current (UK NHS) procedures. He attended a seminar where a former airline captain gave an address explaining the accountability and procedures throughout aviation that are designed to reduce errors. The intoduction of human factors training was also high on the list.
The chap I spoke to was very impressed with the way aviation deals with all aspects of safety awareness and reporting.
It ain't perfect must we must be doing something right.
