One of the areas I have been focussing on both in terms of work and research (there is another book on the way) is emotional resilience (we run The Fear Course in many UK universities). One of the most common misperception about emotional resilience is that it means people are able to do things like make decisions, deal with situations without emotion.
Cutting off from your emotions is not a useful trait, in fact it can cause many problems especially in leadership and management situations. Our perception of situations is as much the ability to be able to feel a situation as well as think about it. Our emotions and thinking operate together to give us a fuller sense of a situation and importantly for managers and leaders operate with empathy as well as ethically and morally in any situation.
Additionally an individual without emotion would have a sever problem with logic or reason. Reasoning requires a level of understanding of emotions.