For me the two names (Jesus and Christ) have significance for the humanity and deity of Jesus Christ.  ‘Jesus’ brings to mind the human being who lived breathed and experienced life, the incarnation.  ‘Christ’ brings to mind the second person of the Trinity, the messiah.

Thus, for me both names need to be balanced to do justice to the hypostatic union that is in Jesus Christ - fully God and fully human.

Although, having written that I wonder whether ‘Son’ might better bring to mind the deity of Jesus Christ.  In this case ‘Jesus, the Son of God’ better brings to mind the deity and humanity aspects, both of which are essential for Christ our saviour.

I guess we need to take care with our language in order that we do not fall into the trap of nestorianism, monophysitism or apollinarianism!  A vertiable feast of heresy.