Care to correct what is/are wrong? By mentioning something are incorrect do not make them incorrect without proof, and the points must be based on the primary scriptures and religious references not whimsical feeling and anecdotal references. I'm merely stating the facts that I gathered and understood based on my acquired knowledge. Admittedly, I can be wrong on these matters but not until it's proven.
While waiting for your forthcoming answers, allow me to guess one of the contentions, if I may. Based on my comments, it will be that the Jews were awaiting for these three prophesized prophets at the time of Jesus arrival based originally on the Old Testament. Based on the Quran and muslim tradition, the two of them are Jesus the Messiah (literally Christ or Christos in Greek, or the Annointed One in English), and the other is "prophet similar to Moses" namely the final messenger/prophet Muhammad.
These are the verses from the Bible New Testament recording that the Jews around the time of Jesus arrival were actively waiting for these three prophesized prophets [1].
"(19) And this is the record of John, when the Jews sent priests and Levites from Jerusalem to ask him, Who art thou?
(20) And he confessed, and denied not; but confessed, I am not the Christ.
(21) And they asked him, What then? Art thou Elias? And he saith, I am not. Art thou that prophet? And he answered, No."
Based on Jewish scripture and also the Old Testament (Deutronomy 18), the latter or the third prophesized prophet is similar in profiles and characters to Moses [2].
Muhammad fits this very description like a glove, since both Moses and Muhammad are very similar.
They both:
1) triumphed over their enemies
2) performed migration/exodus/hijrah
3) died not in the birthplace
4) died natural deaths
5) got married
6) had children
7) led their people
8) established new laws (Sharia)
9) engaged in warfare
10) became prophet at around 40 years old, etc
It's not very clear from the New Testament but in the original Jewish scripture the verse mentioned "brethren of the Israelites" - as a reference to Muhammad, who is a descendant of Ishmael (brother of Isaac/ancestor of Israelites). Please note that from the Torah part of the Tanakh, the provided interpretation of the word "brethren" is from fellow Israelites (but not the verse itself) [3].
The Dead Dea Scrolls version of these verses provided by the following translations [4]. Interestingly there are 30 physical copies of the Deuteronomy in the collection, and apparently it is one of the very popular chapters hidden inside the caves of Qumran.
"(18) I will raise them up a prophet from among their brothers, like you. I will put my words in his mouth, and he shall speak to them all that I shall command him.
(19) It shall happen, that whoever will not listen to my words which he shall speak in my name, I will require it of him"
Fun facts, Muhammad is an illiterate person, he cannot read and only recite the Quran exactly as conveyed verbatim to him from the God via the the archangel Gabriel.
Another fun facts, every chapters in the Quran (except Surah At-Tawbah) begin in the God's name or Bismillah ("In the name of God, the Most Gracious, the Most Merciful").
Another extra fun facts, Moses by far is the most frequently mentioned name in the Quran (136), and Jesus or Isa appeared only 25 times. Please note that Isa is the actual Aramaic/Arabic name of Jesus since letter J is the a medieval Latin invention not present in ancient or modern Greek. But if we include Jesus other names referred in the Quran in addition to Isa, namely Ibn Maryam (son of Maryam) and Al-Masih (The Messiah or Christ), it will be tied second with Abraham at 69.
[1] John 1:19-21:
https://www.biblegateway.com/passage/?search=John%201%3A19-2...
[2] Deuteronomy (18:15–18)
https://www.biblegateway.com/passage/?search=Deuteronomy%201...
[3] Deuteronomy 18:15:
https://tanakh.info/dt18-15
[4] Dead Sea Scrolls Bible Translations:
https://dssenglishbible.com/deuteronomy%2018.htm