If you did not get the essence of the argument so far, you probably won't ever get it but the words in scripture have meaning. A priest in scripture has a specific meaning and duty as does presbuteros. 1 Peter 2:5 you also, like living stones, are being built into a spiritual house to be a holy priesthood (hierateuma), offering spiritual sacrifices acceptable to God through Jesus Christ.
hierateuma
Short Definition: the act or office of priesthood
Definition: the act or office of priesthood.
You see, its we who are a holy priesthood. The Catholics are trying to convince us that priest can be used where presbuteros is used in scripture.
(πρεσβυτερος) presbýteros properly, a mature man having seasoned judgment (experience); an elder
The Catholic Church using the term priest is counter to scripture and therefore error.
When speaking of ordained priests, St. Paul uses that contentious word again, "επιθεσεως των χειρων του πρεσβυτεριου" -- "imposition of the hands of the priesthood" (1 Timothy 4:14)
Like I said, "πρεσβυτερος" is used intermixed with "ιερευς", but I pointed out several uses where it can only refer to sacramental priesthood.
But, to them it doesn't matter because "they" get to control words and their meanings. So what that there WAS no priestly office in the first century church making propitiatory offerings? So what that there was no mention in the Apostle's writings designating the offices within a church's structure that mentioned "priests"? So what that the Lord's Supper wasn't even considered an expiatory sacrifice until hundreds of years after all the Apostles had died? That the office as well as the functions exclusive to it developed over the course of centuries makes no difference to those who claim sole right to say what can and must be believed by "Christians" - even if it changes (though they can somehow claim they teach only what has "always and everywhere" been believed.
According to this mindset, the Apostles WERE the first Catholic priests and anyone who disagrees has an hateful and "anti-Catholic" bias. Never mind that the Apostles were the first missionaries and traveling evangelists and never stuck around any local church long enough to become their "priest", if the magesterium has decided the word means what they say it means then all the text of Scripture gets retrofitted to line up with their teaching. That way, no one can possibly have a successful argument against them. It constantly surprises them how slow others are to getting this! Once we get it through our heads that the Roman Church is superior to even Holy Scripture, it will all make perfect sense, don't you see!
On the other hand, those who believe that the Apostles were divinely inspired to write and teach what they did hold to what Scripture actually says and not what power-hungry religionists want it to mean.
And the LORD said unto him, Who hath made man's mouth? or who maketh the dumb, or deaf, or the seeing, or the blind? have not I the LORD? Now therefore go, and I will be with thy mouth, and teach thee what thou shalt say.
And he said, O my Lord, send, I pray thee, by the hand [of him whom] thou wilt send.
And the anger of the LORD was kindled against Moses, and he said, [Is] not Aaron the Levite thy brother? I know that he can speak well. And also, behold, he cometh forth to meet thee: and when he seeth thee, he will be glad in his heart. And thou shalt speak unto him, and put words in his mouth: and I will be with thy mouth, and with his mouth, and will teach you what ye shall do. And he shall be thy spokesman unto the people: and he shall be, [even] he shall be to thee instead of a mouth, and thou shalt be to him instead of God. Exodus 4:10-16
As a man, Christs lineage was Judah, not Aaron. More importantly, Christ is God. He is divine.
Melchizedek was not a mortal priest either and his priesthood preceded the Levitical priesthood.
The priesthood of Christ is unchangeable and endless.
For the priesthood being changed, there is made of necessity a change also of the law. For he of whom these things are spoken pertaineth to another tribe, of which no man gave attendance at the altar. For [it is] evident that our Lord sprang out of Juda; of which tribe Moses spake nothing concerning priesthood.
And it is yet far more evident: for that after the similitude of Melchisedec there ariseth another priest, Who is made, not after the law of a carnal commandment, but after the power of an endless life. For he testifieth, Thou [art] a priest for ever after the order of Melchisedec.
For there is verily a disannulling of the commandment going before for the weakness and unprofitableness thereof. For the law made nothing perfect, but the bringing in of a better hope [did]; by the which we draw nigh unto God.
And inasmuch as not without an oath [he was made priest]: (For those priests were made without an oath; but this with an oath by him that said unto him, The Lord sware and will not repent, Thou [art] a priest for ever after the order of Melchisedec:)
By so much was Jesus made a surety of a better testament. And they truly were many priests, because they were not suffered to continue by reason of death: But this [man], because he continueth ever, hath an unchangeable priesthood.
Wherefore he is able also to save them to the uttermost that come unto God by him, seeing he ever liveth to make intercession for them. For such an high priest became us, [who is] holy, harmless, undefiled, separate from sinners, and made higher than the heavens; Who needeth not daily, as those high priests, to offer up sacrifice, first for his own sins, and then for the people's: for this he did once, when he offered up himself.
For the law maketh men high priests which have infirmity; but the word of the oath, which was since the law, [maketh] the Son, who is consecrated for evermore. Hebrews 7:11-28