The Jews, like everyone else, were, and are sinners. Most of the Israelites in the Old Testament age were not saved because they had no faith in a coming Saviour. Some of them were saved because they had this faith, including Abraham, Isaac, Jacob, Moses, all the prophets, and others such as Rahab, Ruth and many others.
The way of salvation throughout the ages has never changed, and it is only through faith in Christ. This faith is in the combination of his divine and human nature (that he is both God and man), in his sinless life, in his death for our sins, and in his bodily resurrection.
Our problem is that sin cuts us off from God: the New Testament is very plain that it is impossible for the blood of bulls and goats to take away sin (Hebrews 10:4). If sin is not taken away then there can be no salvation. Christ died to take away sin. The death of the sinless God-man was the only way sin could be dealt with.
That salvation would come by a Saviour is the teaching of the Old Testament as well as the NT: for example, Genesis 3:15, Genesis 49:10-12, Psalm 22, Isaiah 53.
Very briefly, in Genesis 3:15 God promises a Saviour who would be "the seed of the woman" (human); who would "bruise Satan's head" - destroy the power of the devil (Rev 20:2); by suffering, the Saviour's "heel" would be "bruised" in the process. This Saviour could not be mere human because the whole human race in the fall of Adam and Eve were taken captive by the devil to do his will (2 Timothy 2:26).
The Book of Job is generally believed to have been written in the age of the patriarchs Abraham, Isaac and Jacob. That this Saviour would be divine, God made flesh, is shown by Job:
"For I know that my Redeemer lives, and that he shall stand in the latter days upon the earth: and though ...worms destroy this body, yet in my flesh shall I see God: whom I shall see for myself, and mine eyes shall behold" (Job 19:25-27).
God in his own nature is invisible and cannot be seen; only if he takes on a physical nature can he be seen - so Job is simply saying that one day God would become a man to be the Redeemer of Job and all His people.
This is a wonderful statement of Job.
Job is declaring he has a divine Redeemer because:-
1.this redeemer lives right now & will stand upon the earth in the fullness of time. (The length of life of this Redeemer means he is God.)
- The Hebrew word translated "redeemer" is the same word translated "kinsman" ("gaal", Strong's 1350) concerning Boaz in the book of Ruth (excepting Ruth 2:1, "yada", 3045). A kinsman is a relative. "Gaal" means the "nearest male relative" (with sufficient wealth to pay off debts). He is saying I know that my kinsman-redeemer lives. In Job 19:25 Job means God will one day show himself to be my blood-relative and will pay off all my debts. Essentially Job is saying that he knows that one day God will become a man. See Lev 25:25, etc, for the law of redemption by the near of kin.
"Unto us a child is born... and his name shall be called... Mighty God" (Isaiah 9:6). What needs to be said?
"The Lord whom you seek shall suddenly come to his temple" (Malachi 3:1). The Temple in Jerusalem is God's Temple. So this verse can only mean that God will suddenly come, yet the verse is speaking of Christ: so Christ is God according to the Prophet Malachi.
David wrote "The LORD said to my Lord sit at my right hand until I make your enemies a footstool for your feet" (Psalm 110:1). Our Lord Jesus teaches from this that "the Son of David" would not be merely human, but divine (Matthew 22:44, Acts 2:34-36). And in Psalm 45:6 David is writing about the coming Messiah: "Thy throne, O God, is for ever and ever". David says the coming Messiah will be Divine. Compare this with Hebrews 1:8.
Furthermore, his life, death and resurrection is pre-figured in the life, "death" and "resurrection" of Joseph in Egypt (Genesis 37-50), becoming a saviour of the children of Israel from famine. It is also pre-figured in the spotless beauty, "death" (Esther 4:16), "resurrection" (Esther 5:2),and intercession (Esther 5:3, etc) of Esther for her people.
From a Baptist, but really I think most denominations would agree the same, except the Jehovah's Witness would deny Jesus was and is God, and some dispensationalists would hold views which are really beyond my comprehension.
It should not surprise us if the Jews today do not agree that the OT saints trusted in a divine Saviour. They think that the law was given to enable them to get right with God, whereas the law was actually given to show us our inability to get right with God apart from the Messiah. There remains a veil over their eyes and hearts such that they cannot understand their Tanakh, the Old Testament (2 Corinthians 3:14-16).