The Jewish religious leaders did not accept Jesus NOT BECAUSE messianic prophecies had not been fulfilled in him or because he did not have works to demonstrate his messiahship. They did not accept him because if they recognized him as Messiah, their religious leadership would end. Many ordinary Jews DID accept Jesus as Messiah in the first century.
Ask yourself: If a Jew not recognized by the current Jewish leadership were to present himself today as the legal heir to the throne of David, do you think the current Jewish leaders would recognize him and accept his messiahship? The answer is simple: THEY WOULD NOT, exactly the same as they did not in the first century AND FOR THE SAME REASONS. Religious leaders do not accept representatives of God that they do not recognize, because they believe that God needs to use them to select him. Public acceptance of a God-anointed leader who has not been identified by religious leaders jeopardizes their position. If any modern messiah appears without the authorization of the modern Jewish leaders, they will still nullify him.
The non-acceptance of Jesus as Messiah by the Jewish leaders of his time in no way nullifies his identification, which has since been recognized not only by many Jews but by millions and millions of people ever since. God's decisions have nothing to do with human intrigues.
As for the supposed limited human life that the Jews attribute to the messiah they are still waiting for, Scripture categorically refutes them:
Dan. 7:13 “I kept watching in the visions of the night, and look! with the clouds of the heavens, someone like a son of man was coming; and he gained access to the Ancient of Days, and they brought him up close before that One. 14 And to him there were given rulership, honor, and a kingdom, that the peoples, nations, and language groups should all serve him. His rulership is an everlasting rulership that will not pass away, and his kingdom will not be destroyed.
Since the Jews no longer have the power of God in their favor, their thoughts have turned into simple political and materialistic human ideologies. Their religion is just one more. Anyone of any modern religion has to sincerely seek God somewhere where political interests do not enter.