I have a very interesting book called “The Messiah Texts - a major new book of revelation expressing the age-old dream of a great people” by Raphael Patai. It is NOT from a Christian perspective at all, but a Jewish one. Included in the book are legends and beliefs about the Messiah, which the Jewish people have held for centuries.
One chapter is called “The Suffering Messiah”. (which is one aspect of the messiah that some Jewish scholars believe in - also called “The Suffering Servant” – some scholars say this is an independent person, whereas other Jewish scholars think the “Suffering Servant” is Israel itself.)
Here is a quote from the book about the Suffering Messiah:
According to one of the most moving, and at the same time psychologically most meaningful, of all Messiah legends, God, when he created the Messiah, gave him the choice whether to accept the sufferings for the sins of Israel. And the Messiah answered: I accept it with joy, so that not a single soul of Israel should be lost."
Although the means of this suffering is different than the Christian concept, the Suffering Messiah is an aspect of Jewish belief, however, not too prevalent. (although Christians don’t believe the Messiah is a “creation”…but that’s another topic all together)
Christians would say that the Suffering Messiah can be seen in Isaiah chapter 53, as well as Psalm 22. We believe that Jesus fulfilled these prophecies.
We also believe in a 2nd coming of this same Messiah. He will at that time fulfill the things you mentioned–as believed by the Jewish people and noted in your post.