Yes, I believe that.
Yes, I believe that.
But they will still die in their sins. The "messiah" that they believe in cannot save them. Either they believe in the messiah of the rabbis, or they believe in the Messiah of Scripture.
"Repent, and let every one of you be baptized in the name of Jesus Christ for the remission of sins; and you shall receive the gift of the Holy Spirit." (Acts 2:38)
"Therefore God also has highly exalted Him and given Him the name which is above every name, that at the name of Jesus every knee should bow, of those in heaven, and of those on earth, and of those under the earth, and that every tongue should confess that Jesus Christ is Lord, to the glory of God the Father." (Phil. 2:9-11)
The prophets of Israel point to Jesus, not some future messiah.
"Then He said to them, 'O foolish ones, and slow of heart to believe in all that the prophets have spoken! Ought not the Christ to have suffered these things and to enter into His glory?' And beginning at Moses and all the Prophets, He expounded to them in all the Scriptures the things concerning Himself." (Luke 24:25-27)
The fact that they do not see Jesus as their Messiah is more evidence of what was spoken through the prophets.
"And in them the prophecy of Isaiah is fulfilled, which says: 'Hearing you will hear and shall not understand, And seeing you will see and not perceive; For the hearts of this people have grown dull. Their ears are hard of hearing, And their eyes they have closed, Lest they should see with their eyes and hear with their ears, Lest they should understand with their hearts and turn, So that I should heal them.'" (Matt. 13:14,15)