Melchizedek is not a mortal priestMelchizedek is not a mortal priest, then it is stated that the "Catholic priesthood is likewise in the order of Melchizedek."Indeed, as we read in Hebrews especially, the Priesthood of Christ is not levitical and therefore Catholic priesthood is likewise in the order of Melchizedek.
Really, that would put them above Mary in importance, being immortal.
I don't think that is allowed.
Well, priests are subject to natural death (we are all immortal though), but they are on the mission from timeless, pre-existing Christ, Who is such priest.