Michael L. Brown, in his book Answering Jewish Objections to Jesus,Volume 1: General and Historical Objections, wrote that many Jews argue that the main reason that Christians are so zealous to convert Jews is the need to legitimize our faith. They also say that because Jesus' own people ( The Jews ) rejected Him that this is a real problem for Christianity. He answers that argument in his book:
The main reasons Christians are often especially zealous to win Jewish people to their faith are: (1) As followers of Jesus the Jewish Messiah, they have a special love for Jewish people; (2) it is especially painful for them to think of the People of the Book missing the Messiah of that Book, of Yeshua’s own flesh and blood not recognizing him; and (3) many Christians believe that at the end of this age there will be a widespread turning of the hearts of our Jewish people back to God and his Messiah, ushering in the Messiah’s return. Thus, they pray for this to take place and make every effort to help speed this process along by telling their Jewish friends and colleagues the good news about the Messiah.
Brown, M. L. (2000). Answering Jewish Objections to Jesus, Volume 1: General and Historical Objections,Grand Rapids, Mich.: Baker Books www.bakerbooks.com
" Let them all be confounded and turned back that hate Zion. " ~ Psalm 129:5 KJV