One point here: there is no “saving message of the Jews” in the same sense as in Christianity.
I beg to differ ( from OT Judaism). Sure hindsight is at play here, but I would think such hindsight that I refer to has been around since the beginning of Christianity. Certainly the OT deals with sin, and God’s grace and restoration of men and women, that restoration being a type of salvation we still have today (being “born of Gd”, “born of the Spirit”, or “born again”. It always involved faith, and shedding of blood.
That is, one need not convert to Judaism to be saved.
Not sure, but I mean even in Christianity it is not taught that only Christians will be “saved”. Folks who have not heard the Word of God, via Judaism or Christianity, can follow their conscience and yield to God’s imprint on man and the universe. However, I was generally speaking of those who have had contact with the perspective messages in OT and NT. They must convert to be "saved’. That is rejection of their proclamations can not be considered “good”.
Obedience to the Law saves us “only” in terms of practicing what Gd commands and thereby leading a better, more righteous, more meaningful life. The Law itself is not designed to save us with respect to eternal life. The latter is not even necessary. However, that does not mean Judaism denies the afterlife, but rather that whatever form this may take is not specified in the Law, and so the present life and making it a good one is what we should focus on.
Partly agree that the Law can not save. I would say Judaism, the OT, is much bigger that the Law, in the sense that you have the Prophets and Writings also. Certainly Adam and Eve, and Abraham were before the Law, and gave evidence of this restored spiritual life, of sin covering, by grace and faith in and from Gd. As to the Law again, we are taught it was/is the schoolmaster that kept us focused on the need for "saving’’, from our shortcomings /sin and that truth is quite objective in this. Kind of like we would not know our archery is not perfect, even flawed , with out a bulls eye target, that is impossible to hit every single time. The Law then provided for the old blood covering for such failings, but the entire OT, starting at Genesis, at the Garden point to a one time blood shedding, of one satisfying justice, of a perfect target hitting new Adam, propitiating for the old Adam and his imperfect seed.
As to afterlife and this life, I would think OT teaches the aim of life is to please Gd, even glorify Him.