I think training could help overcome the expected strong viceral reactions, if the training treated the problem for what it really is, a life and death decision. The simulator seems like a good place to do this.
any of us are faced with life and death decisions, and some are even required within seconds. For those required within seconds you are better off reacting by rote (turn the steering wheel or hit the brakes).
The idea around training is to reinforce planning that does not get you boxed in to life and death decisions within seconds.
So we have the investigating challenge, is this equipment failure, knowlege based misteps, skill based misteps or failure to follow procedures that got them into the seconds preceding the overrun?