It is not that the Jews are blind, it is that Christians see the Hebrew Scriptures through Jesus-colored glasses. Since they read the Christian's New Testament first, then the TaNaCH, they see the TaNaCH through the lens of Christianity. If read on its own, with no knowledge of, or belief in, Christianity, the Hebrew Scriptures would not be seen as being about Jesus.
Jews don't see the Christian interpretation in Isaiah 53, because it contradicts what the Hebrew Scriptures, the Bible says, clearly and consistently, in at least 3 places:
In Exodus 32:30-35, Moses tries to offer himself as an atonement for the sins of the people. To be written out of God's book, means to be written out of the Book of Life, which means Moses was asking to die for the sins of the People. God's response was "No, it does not work that way, each man dies for his own sin:"
Exodus 32:30-35
And it came to pass on the morrow, that Moses
said unto the people, Ye have sinned a great
sin: and now I will go up unto the Eternal;
perhaps I shall make an atonement for your
sin. And Moses returned unto the Eternal, and
said, Oh, this people have sinned a great sin,
and have made them gods of gold. Yet now, if
thou wilt forgive their sin - ; and if not,
blot me, I pray thee, out of thy book which
thou hast written. And the Eternal said unto
Moses, Whosoever hath sinned against me, him
will I blot out of my book...nevertheless in
the day when I visit I will visit their sin
upon them.
In Deuteronomy 24:16 it specifically says this:
Deuteronomy 24:16
The fathers shall not be put to death for the
children, neither shall the children be put to
death for the father. Every man must die for
his own sin.
The whole of chapter 18 of the book of Ezekiel is about this idea, that no one can die for someone else's sin. Further, this chapter of Ezekiel teaches us that all we have to do for God's forgiveness is to stop doing the Bad and start doing the Good, and God will forgive us. Nowhere in this chapter does it say that we have to have a blood sacrifice for the forgiveness of sins.
Ezekiel 18:1-4; 20-24; 26-27
.....Behold, all souls are mine; as the
soul of the father, so also the soul of the
son is mine: the soul that sinneth, it shall
die....The soul that sinneth, it shall die.
The son shall not bear the iniquity of the
father, neither shall the father bear the
iniquity of the son: the righteousness of the
righteous shall be upon him, and the
wickedness of the wicked shall be upon him.
But if the wicked will turn from all his sins
that he hath committed, and keep all my
statutes, and do that which is lawful and
right, he shall surely live, he shall not die.
All his transgressions that he hath committed,
they shall not be mentioned unto him: in his
righteousness that he hath done he shall live.
Have I any pleasure at all that the wicked
should die? saith the Eternal God: and not
that he should return from his ways, and live?
So, either Deuteronomy 24:16, "Every man must die for his own sin" does not mean that 'every man must die for his own sin,' and the Christian interpretation of Isaiah 53 is correct, or the Christian interpretation of Isaiah 53 is not correct, and Deuteronomy 24:16, 'Every man must die for his own sins' means exactly what it says.
Furthermore, Jews read Isaiah up to (and including Isaiah 53) and Isaiah repeatedly refers specifically to the Jews as Gd's servant. Read Isaiah 41:8; Isaiah 44:21; Isaiah 45:4; Isaiah 49:3; Isaiah 44:1; Isaiah 48:20 and Isaiah 49:7
Lets concentrate on Isaiah 43:10::
Isaiah 43:10
"You are my witnesses, saith the Etrnl, and my
servant whom I have chosen: that ye may know
and believe me, and understand that I am he:
before me there was no Gd formed, neither
shall there be after me."
The above verse refers to the Jewish People in the plural