Diogenes(and others), read these links and let me know what you make of them.
and here,(from this link)
"Now those who still would believe that Melchizedek is/was Christ will say " What about Hebrews 7:3 "?
3 " Without father , without mother , without descent , having neither beginning of days , nor end of life but made like unto the Son of God ; abideth a priest continually"
The Greek verb aphomoioo is translated as made like here. Aphomoioo always refers to two distinct and separate entities . This falls in line with our previous realization of the other words denoting two completely separate individuals . The Levitical priesthood was based on lineage ( a priest had to be a Levite , a descendant of Aaron and this beyond any doubt.). Let us refer to the reforming of the Levitical priesthood in Nehemiah 7:64.
" These sought their register among those that were reckoned by genealogy , but it was not found : Therefore were they , as polluted , put from the priesthood."
The concept of Hebrews 7:3 is not that Melchizedek did not have a literal father or mother but rather that no record of his genealogy is found in the bible. In the bible even silence can speak volumes. Of course we know that Jesus Christ did have a father and a mother ( see Matthew 1:1-17 and Luke 3:23 -28 ). "having neither beginning of days , nor end of life " also refers to the bibles silence on such matters but has a second meaning in that according to Numbers 4:47 a priest could only serve in the priesthood from between the ages of 30 to 50 years old. He was not born into the priesthood ( no beginning of days ) nor ended his life in the service of the altar but retired at the young age of 50 . In the case of the high priest his service ended at death but we see that Melchizedek was called the priest of the most high God not high priest ; although he could have been. "
And the following; (here)
(There`s more in the link if you scroll down.)
"The New Analytical Greek Lexicon says that kata means “after the fashion or likeness of.”
HEBREWS 7:1 For this Melchizedek, king of Salem, who met Abraham returning from the slaughter of the kings and blessed him, 2 to whom also Abraham gave a tenth part of all, first being translated “king of righteousness,” and then also king of Salem, meaning “king of peace,” 3 without father, without mother, without genealogy [agenealogetos]1, having neither beginning of days nor end of life2, but made like [aphomoiomenos] the Son of God, remains a priest continually3. (NKJV)
The belief that Melchizedek was Christ rests on three erroneous assumptions about Hebrews 7:3, shown by the superscripted numbers in the passage above.
The first is the argument that since Melchizedek is said to be without father, mother, and genealogy, he has to be eternal and therefore the Son of God. However, many have failed to see that the author does not use the terms “without father” (apatoor), “without mother” (ametoor), and “without genealogy” (agenealogetos) literally in this passage. "