St. Matthew's Rendition of the Messiah

The Gospel of Matthew is very close to the Gospel of Mark, but with additional commentary/story. Gospel scholars generally agree that Matthew is addressing his work to a Jewish audience. One of the reasons why is new to me, and less know. Jesus is often portrayed as a Moses figure, which is extremely significant to Jewish Tradition and Faith. But the text almost parallels Jesus with Moses, ultimately making Jesus the superior figure.
First, let's examine the part of the Sermon on the Mount (Matt 5-7). One of my instructors raised a few points that caught my attention. Jesus went up to the mount, like Moses went to the mountain. Moses taught "the laws", Jesus taught His law, which was taking all ten commandments to the next level. Both were teaching new doctrine in their respective times, but Jesus's was superior because he fulfilled the Law of Moses and gave the Higher Law. Second, let's examine the Mount of Transfiguration in Matthew 17. Moses appears with Elias (Elijah) at the mount of Transfiguration, Jesus is subsquently transfigured before Peter, James and John's eyes. At the conclusion of this marvelous event, Jesus is left alone standing and representing the new leader, the one who has ultimate authority (that above Elijah and Moses). This must have been very difficult for Jews of the day to accept. There are implications that go far beyond what is actually written in the narrative. I wish that I could have only had a glimpse of that event! How incredible it must have been. I do believe fully that Jesus Christ is real and that he has supreme authority on all spiritual matters in the universe. His glory shines for us all to behold, if not at the Mount of Tranfiguration 2000 years ago, someday soon.