The physician's responsibility is to direct the patient to the Great Physician, Jesus Christ, who is the author of health and disease. Jesus healed in the context of directing people to the kingdom of God. He needs to direct the patient along the guidelines God has established. Jesus certainly helped many who did not trust in him. We are still to provide for our enemies though our response has to be in the context of biblical wisdom, always thinking in terms of how to best direct the patient to repentance and salvation.
True healing is a wholistic concern.
Jesus exemplified this and so does the language of the Scriptures. The truly saved man was saved inside and out. Of the ten lepers that were healed only the one that came back and gave thanks to God is said to be saved or healed. He was made whole. As Jesus makes clear when he healed the paralytic brought down through the roof, true health is much more than the absence of disease.