There are no prophecies of 2nd comings in the Hebrew text of the Tanakh. The second coming is something that only exists in Christian texts in Greek and in translations of the Greek.
The mashiahh ben Yoseph concept is a concept found in the Talmud and Geonic writings and not a requirement. FURTHER, all the texts that even mention this concept are clear that if there is an "anointed one" from a non-Davidic line it will be temporary and that mashiahh ben Yoseph is a descedent (paternally) of the tribe of Epharyim/i.e. Yoseph. The reason that Christians consider there to be two messiah's is because they are unclear on the real meaning of the word (משיח). That word does not mean messiah. Thus, if it did the Aaronic priest, mentioned in the Torah, who was supposed to speak to the Israeli army before a war would also be a messiah since he is called a (הכהן המשיח). This is the only place in the Tanakh where the word (המשיח) the anointed one. Again, someone knows Hebrew knows exactly what I am talking about.
Also, the geneologies of Jews have not been destroyed. There are a large number of Jews here in Israel who have known ancestral lines. There are a number of families here in Israel who have known Davidic descent, Aaronic descent, and Levitic descent. (There are families that have last names that bear their connection back to King David through Solomon - Solomon being required) The way the situation will be resolved in terms of making someone officially a king is for the Mosaic court to be established and to very the potential person's background.
The problem for Jews who don't accept the first coming is that they expect the Messiah to be born in Bethlehem, when, in reality, he will come again on the clouds from heaven.
To say that Messiah ben Joseph is not a requirement is the same as saying that David, the type of Christ, was not anointed as king prior to being made king.
The LORD said to Samuel, 'I will send thee to Jesse the Bethlehemite; for I have provided me a king among his sons'.[1 Samuel 16:1]
1 Samuel 1:13.'Then Samuel took the horn of oil and anointed him [David] in the midst of his brethren: and the Spirit of the LORD came upon David from that day forward.'
This is the same servant that Isaiah speaks of in Isaiah chapter 11. 'And there shall come forth a rod out of the stem of Jesse, and a Branch shall grow out of his roots: And the spirit of the LORD shall rest upon him, the spirit of wisdom and understanding, the spirit of counsel and might, the spirit of knowledge and of fear of the LORD;'
This is the same servant mentioned in Isaiah 42:1, 'Behold my servant, whom I uphold; mine elect,
in whom my soul delighted; I have put my spirit upon him: he shall bring forth judgment to the Gentiles'.
This is the same servant as mentioned in Isaiah 42:6-8. 'I the LORD have called thee in righteousness, and will hold thine hand, and will keep thee, and give thee for a covenant of the people, for a light of the Gentiles;
To open the blind eyes, to bring out the prisoners from the prison,
and them that sit in darkness out of the prison house.'
This is the same servant who reads Isaiah 61 as his own words. 'The Spirit of the Lord GOD
is upon me; because the LORD hath anointed me to preach good tidings unto the meek; he hath sent me to bind up the brokenhearted, to proclaim liberty to the captives, and the opening of the prison to
them that are bound;'
This is the same servant as mentioned in Isaiah 52:13,14. 'Behold, my servant shall deal prudently, he shall be exalted and extolled, and be very high. As many were astounded at thee; his visage was so marred more than any man, and his form more than the sons of men: So shall he sprinkle many nations; the kings shall shut their mouths at him: for
that which had not been told them shall they see
; and
that which they had not heard shall they consider'.
This is the same servant, and shepherd, the Prophet, who becomes king and brings in the covenant mentioned in Jeremiah 31:31-34. As Ezekiel says, 'And I will set up one shepherd over them, and he shall feed them,
even my servant David; he shall feed them, and he shall be their shepherd.
And I the LORD will be their God, and my servant David a prince among them; I the LORD have spoken it' [Ezekiel 34;23,24].