One major argument that many people have (non-Christians especially) is the death and resurrection of Jesus (http://project05952381.blogspot.com/2010/06/god-vs-crucifix.html). These people (some friends of mine included here) ask how God could have died. They fail to understand that the incarnation (body) died and came back to life. In other words, Jesus never died (http://project05952381.blogspot.com/2010/05/gott-ist-nein-tot-revisited.html).
This of course brings the argument of Christology. Is Jesus son of man (fully human) or son of God (fully God)? Give me a break! Jesus was fully human and fully God. Maybe this last concept is hard to understand for some people, but to me it's simple and clear.
