Our deepest connection is that we are all the spiritual children of Heavenly Father. He is the father of our spirits and we are all precious to Him.  
 
The Jews have a deep connection to the Mormons since we follow the teachings and examples of the Son of God Jesus Christ who is of the House of David and of the Tribe of Judah, of the House of Israel.  
 
As Mormons we believe that we are the Restored Church of Jesus Christ, that we are the restored covenant of Abraham that we are Children of Abraham by adoption when we are baptized and confirmed members of the Church through the promises we make with God.  
 
The Biggest connection though is found right in my family, both Jew and Gentiles are Mormons. The Book of Mormon was brought forth for the convincing of the Jew and the Gentile that Jesus is the Christ. Both blood descendants of Israel and non blood descendants make up the membership of the Church.  
 
My family is split I am a gentile having been adopted into the Abrahamic Covenant by baptism, my wife though has the blood of Israel in her veins she is of Hebrew descent and is also a member of the Church.  
 
This is foretold throughout the scriptures the Church is on the Earth today to gather both Gentile and Jew to the standard of Christ in these Latter-days.