A friend of mine recently authored a number of essays on the Melchizedek priesthood. In my mind, they are absolutely required reading for Latter-day Saints. Before we can establish Zion, we must understand this order of the priesthood. The priesthood after the order of Melchizedek has also been called the priesthood after the order of Enoch (D&C 76:57). These were both spiritual giants who established Zion among their respective people (JST Genesis 14:33-34). Their “order,” or in other words, their manner, pattern, culture, attitude, mode of being, etc., is the essence of Zion. It is the order of heaven itself.
It’s additionally referred to as the Order after the Son of God, not only because Christ is the exemplar of this order, but because all who live after this order become “sons of God” in their own right. “But as many as received him, to them gave he power to become the sons of God, even to them that believe on his name” (John 1:12). The Hebrew idea of a “name” also implies the concept of an order or likeness. When we act “in the name of Jesus Christ,” we’re told that what we’re doing should reflect exactly what Christ Himself would do if He were there. When we give blessings, bear testimony, pray, or take upon ourselves His name, what we’re doing ought to reflect His way of doing things. By believing in His name, we exercise faith that His example, manner, or “order” is the order of heaven, and that which will bring Zion upon the earth. We trust that His manner really is “the way, the truth, and the life” (John 14:6). And as John bears witness, to those who believed on His name He gave power to become “the sons of God” – the title belonging to citizens of heaven (Job 1:6, 2:1).
Through the Temple endowment we are all invited to participate in this Holy Order, whereby we are invited into heaven. Men and women alike have a role to play in the priesthood after the order of Melchizedek, though they fulfill separate functions. For a better understanding of this topic, I highly recommend reading the series linked below. God bless.