Based on the information provided within the question it can be said that in this scenario the MBTI dimension that is being described is intuition. This refers to an individual which is intuitive, future-oriented, and imaginative among other things. Which is what Karl is being described as since he is imaginitive and trusts his hunches (intuitive).
A faction is a group of individuals concerned more with their self-interest than with the rights of individuals outside the group or with the needs of society as a whole.