I don't think the Jews of today relate Mel to Jesus....Abrahm was also a "Gentile", not a Jew.
I could be wrong tho
Kindgdom Bible Studies Royal Priesthood Part 24
One of the most intriguing descriptions of the unique character of the High Priesthood of Jesus is found in Heb. 7:17 wherein it is stated, "Thou art a priest forever after the order of Melchizedek."
This one grand statement shows that Jesus is not like any of the other priests who the people of Israel knew so much about. The entire seventh chapter of Hebrews is about THE MELCHIZEDEK CONNECTION, that is, it is about the way Jesus Christ, and thus, His body, the Royal Priesthood, is related to a strange man named Melchizedek. And the connection between Jesus Christ and Melchizedek
In Genesis, chapter fourteen, we have one of the most intriguing stories in the Bible, that of Abram's encounter with Melchizedek, king of Salem, and "the priest of the Most High God." In the Genesis story Melchizedek is a strange and mysterious figure. He flashes across the scene like a meteor. There is no heralding of his appearance, nor any mention of its results. He arrives out of the blue; there is no account of his family; there is nothing about his birth, his descent, his life, his work, or his death. He simply arrives. We learn only that he was king of Salem and priest of the Most High God. During the time of Abraham there were no large nations. Instead, there were small cities where families lived or around which a tribe of nomadic people settled. The population of these cities was probably not more than a few hundred - at most a few thousand.is worth exploring. Let's take a look at the Melchizedek Connection.