In The Discipling Dilemma, Flavil Yeakley wrote that Christ has all the functions (extraversion/introversion, sensing/intuition, thinking/feeling, and judging/perceiving) because He is God. This means that His type is not ESFJ, nor any other type.
Since Christ is not only God, but also a man, there is also a question about His human personality type. Yeakley wrote that Gospels do not provide the information about Christ's personality type because sometimes He acted as an extravert, sometimes as an introvert, and so on. I agree with that.
So, it is impossible to figure out Christ's human personality type from the Bible. On the one hand, it may mean that God purposely hid His personality type from people. On the other hand, Christ is a perfect man, the only perfect one. Every personality type is normal. However, still every type has some advantages and some weaknesses. Since Christ is perfect, it means that He has no shortages. Every type has some limitations. Christ does not have any limitations. This probably means that Christ as a perfect human being is not limited by only one personality type. This means that He could act as a person of different psychological types at different times.