[Question] Ways to run multiple form-incompatible mentalities?

I’ve been looking into intuition pumps recently, and I realized the MBTI system (when combined with the associated ‘function theory’) has some very general, relatively useful ones, such as the INTP (TiNe) and INTJ (NiTe) ones.

However, the mental structures each of these describe are mutually incompatible in terms of information representation and processing methods. I haven’t yet found any way to possess such mutually incompatible systems at the same time (even disregarding the infeasibility of true multitasking, simply having them both as active components in my mind, rather than inactive memories only accessible when specifically called upon, is proving difficult)

Does anyone have tips on how to keep such mentalities both available for active use despite their incompatibility?