Well, regarding INTJs, imo, they are in general going to be a group of people prone to misunderstanding/being misunderstood. I mean, from my understanding where the Judging function is concerned, it generally lends itself to someone who has beliefs as to what should and should not be so, or what does and doesn't represent something, etc. Basically, someone who passes the judgement first, then goes back and refines (if necessary) their views later. OK. Now the thing with an INTJ would be, you have someone who has that internalized preformed opinion, coupled with someone with other strong internalized functions.
There's the introversion, which already lends itself to being inward and 'inside one's head', coupled with the intuition, processing and mapping out data in a way that correlates with one's predisposition, opinions, etc. and finally the thinking/logic leaning function which places highest value on that which in the frame of the judging function, makes sense. I think that the reason an INTJ would be most prone to a cold/calculating crime, or just prone to interpersonal misunderstanding in general, is the lack of external based 'checks' that the type has. I mean, with extroversion, you're being 'checked' by your connection with other people, and with sensing your data gathering is based on what's around you, again, external. Finally, with feeling and perceiving you are connecting to others, and halting your belief system until you've gathered as much varying/contradicting/existing data as possible before you make a decision. These are all external. Even with the INTP, you'd get a person who would first wait to check out other options before execution. Again, just my opinion, but I think the lack of externally based checks and balances coupled with the predisposition of forming preemptive opinions would make serial killing a valid claim as an 'INTJ' crime, or just make INTJs more likely to misunderstand/be misunderstood in general.