Most of the stuff I hear is metal, and I am INFP. And no, I don't cry while doing so, so I hope I am not to be considered "twisted" or what was said here.
I think what Moiety says seems true. I like metal because of the powerful, emotional atmosphere mostly (which I cannot really grasp in every music), and the melodies etc. Darker stuff often (that is mostly Black Metal or something in the direction), but sometimes also more "good-mood"-stuff (whatever genre you want to attribute to it). But there is also much metal which I don't like, because not everything in metal shows the attributes I mentioned, at least in my opinion. I don't make that though depending on the lyrics mostly (I don't mind if there is sometimes rather "brutal" lyrics, and I don't mind if there is not; hell, sometimes I don't mind if there is even lyrics at all, I can hear only instrumental stuff too and actually do quite often) but more on the actual music and the atmosphere.
So I go mostly into the direction of bands like Burzum, but that doesn't mean I cannot listen also to some other stuff like Korpiklaani sometimes.
I often heard already that those people who seem most peaceful in their real life listen not that rarely to metal stuff in their private time (and I believe that many who play metal music are rather peaceful in their private time), and possibly people would take me as an example too. It is just that the reigning stereotype of the classic metalhead is playing itself much more into the foreground, and well, maybe most of what is there now in the so-called scene fits to the stereotypes, but it is not everything. Metal is a wide field, and it is not only either dumb random smashing on some instruments or only stereotype-emo-music or whatever so-called "commerce-/untrve"-stuff.
That obviously is now a bit off from MBTI, but you can now of course turn the thing around and see that the whole question is not that easy to answer.