As the Myers Briggs is not particularly valued among personality researchers (see herehere, for example), it is unlikely that you will find research explicitly focusing on this question.
However, the MBTI types Judging (and its counterpart Perceiving) have been shown to overlap with the Big Five personality dimension conscientiousness (Judging = more conscientious, Perceiving = less conscientious, see thisthis earlier answer). Therefore, you can look for research on the relationship of conscientiousness and brain structures. A limited amount of research as explicitly investigated this question.