In the immediate moment I don't think any type is 'better' than any other at handling it. I've talked to ISFJ, ESTJ, INTJ, ENFP, INTP and INFJ who have been through crises (3 different natural disasters) and all of them said that in the moment you focus down to the immediate, deal with the one thing in front of you then the next then the next.
Now, longer term some types may have more difficultly dealing with the aftermath, but right when it's happening and in the few hours afterwards people pretty much react the same way. Some of those people did crack under the stress afterwards (INFJ particularly) but every single one of them faced the challenge of the moment with a very pragmatic approach, just dealt with it and moved on to the next 'crisis'.