What Jewish Rabbis said about Isaiah 53:
Babylonian Talmud: "The Messiah --what is his name?...The Rabbis say, The Leper Scholar, as it is said, `surely he has borne our griefs and carried our sorrows: yet we did esteem him a leper, smitten of God and afflicted...'" (Sanhedrin 98b)
Midrash Ruth Rabbah: "Another explanation (of Ruth ii.14): -- He is speaking of king Messiah; `Come hither,' draw near to the throne; `and eat of the bread,' that is, the bread of the kingdom; `and dip thy morsel in the vinegar,' this refers to his chastisements, as it is said, `But he was wounded for our transgressions, bruised for our iniquities'"
Targum Jonathan: "Behold my servant Messiah shall prosper; he shall be high and increase and be exceedingly strong..."
Zohar: "`He was wounded for our transgressions,' etc....There is in the Garden of Eden a palace called the Palace of the Sons of Sickness; this palace the Messiah then enters, and summons every sickness, every pain, and every chastisement of Israel; they all come and rest upon him. And were it not that he had thus lightened them off Israel and taken them upon himself, there had been no man able to bear Israel's chastisements for the transgression of the law: and this is that which is written, `Surely our sicknesses he hath carried.'"
Rabbi Moses Maimonides: "What is the manner of Messiah's advent....there shall rise up one of whom none have known before, and signs and wonders which they shall see performed by him will be the proofs of his true origin; for the Almighty, where he declares to us his mind upon this matter, says, `Behold a man whose name is the Branch, and he shall branch forth out of his place' (Zech. 6:12). And Isaiah speaks similarly of the time when he shall appear, without father or mother or family being known, He came up as a sucker before him, and as a root out of dry earth, etc....in the words of Isaiah, when describing the manner in which kings will harken to him, At him kings will shut their mouth; for that which had not been told them have they seen, and that which they had not heard they have perceived." (From the Letter to the South (Yemen), quoted in The Fifty-third Chapter of Isaiah According to the Jewish Interpreters, Ktav Publishing House, 1969, Volume 2, pages 374-5)
More in the link.
https://www.chaim.org/rabbis.htm