Jews are NOT connected to the Holy Spirit Of Christ Jesus because they reject Him as Mighty God and Saviour.   

So, if there is a spirit connecting Christians and Jews it is a Satanic one.   

Christians are commanded to preach the Gospel to every creature - that includes Jews, Muslims, Hindus, Buddhists, etc.   

Jews have a common moral foundation as Christians, but so do people of other religions.   Moral standards can come from the Holy Spirit but are more often than not, merely practical, soulish fabrications by man.   

In Christianity, the Holy Spirit writes His laws (moral standards) in our hearts as we are Born Again of Him and He abides in us.   Not so any other people of any other faith, ethnicity or nationality.   

Christians are different or they are not Christians.   

We are all human but we are not all Children Of God.   

But you are not in the flesh, but in the Spirit, if so be that the Holy Spirit dwell in you.     Now if any man have not the Spirit of Christ, he is none of his. Rom 8:9 The Holy Spirit is the Spirit Of Christ.      The Spirit Of Christ is the Holy Spirit Eph 2:18 Eph 4:4 1Co 12:13 Phi 1:27.      We are In Christ which means we are in His Holy Spirit.     It is His Holy Spirit in us and us in His Holy Spirit that makes us His child.      In the KJV the term Spirit Of God and then Spirit Of Christ is used interchangeably.     This means that the Spirit Of God is the Spirit Of Christ and we know that there is only One Spirit Eph 4:4 1Co 12:13 1Co 6:17.