Teacher vs. Mentor

Background is missing on this post.

Right now, I feel like I want to be more of a mentor than a teacher. I feel like as a teacher, you are not supposed to get too involved in the personal lives of the kids/students. And I don't like that. I am not interested in superficial relationships; I want to know you for who you are. I want to come with you and support you through the things you are going through, and I don't feel like that is expected or suggested as a role that a teacher should play.
Teachers make an influence, one of the most significant ones in a child's life, if you ask me. And I want to make an influence too, but it is hard for me to see how I am having that influence, or feel like I am making a difference when I am standing so far away and pointing and talking. I feel much more comfortable sitting with you and talking over coffee or whatever. I like to be able to hug people and pray with them. But, I feel like this is forbidden in the role of teachers.
This is another aspect of teaching/school that I may talk on later: the perception students have of the way teachers perceive students. Because from my experience, I can count on one hand the number of teachers who have cared about me as a person (not as a test score) and still have fingers to spare. Now, I know I am not entirely accurate in that, but it feels like most teachers view teaching as a job, but not as a way of investing in their students. Maybe they started out that way, but they have forgotten. Or maybe they have been through enough 'red tape' and legalistic issues regarding forming real relationships (mentor-mentee) with students that they no longer see it as something worth trying. I don't know; I'm not in your shoes. And I don't know if I ever will be.