Some thoughts on evangelism...
There is a difference between a theological requirement and a psychological requirement. The theological requirement for eternal life is to believe in Jesus for it. But there may be many psychological requirements to get the individual to the point of entrusting his eternal destiny to Jesus. Appropriate and sufficient answers to this question from those we evangelize, "Why should I believe in Jesus for eternal life?" would represent psychological necessities in the lost.
There are many different ways and combinations that Christ can be presented to the lost in order to persuade them that Jesus guarantees their eternal destiny. We must minister to them where they are. Like I said of the Jew (see my post at Free Grace Theology Blog: How I might do evangelism with a Jewish man), it may be well to take him through the OT Scriptures that prophesy about Christ's first advent.
Why would we who are members of GES state that we should not present the cross? The cross is the single most persuasive consideration in our evangelism. But we do not confuse that which brings men to saving faith with saving faith itself. It is abundantly clear that those who oppose the GES have a bitter axe to grind.
Evangelism should not be a rote message, a canned presentation. We are free to discuss those things that would keep the individual from entrusting her/her eternal well-being to Jesus. There is only one way to eternal life: faith in Jesus for it. But there are a multitude of ways the lost can come to believe that they have eternal life through faith in Jesus. We must tailor our evangelistic conversations to the interests and perlexities of those who are party to them. I don't need to present everything and the kitchen sink! Jesus is a prophet, a king, the messiah, a priest, healer and miracle worker. He is the judge of the living and the dead, He is God, man, savior. Jesus is the creator, the lamb of God, the head of the church.
People have heard of some of these things, and they may be interested to know more about some area of Christianity and Jesus.
Here is a quick illustration:
Let us say that a man was both a manager and the owner of a restaurant. But you don't know that he is either. He comes up to you on the street and says, "Do you want a free meal at the posh Brigantine Seafood Restaurant? If you do, just meet me there tonight at 6 and you and another will eat for free."
The restaurant is about 20 miles from your home and you don't want to risk going down there and it turning out to be a joke or fake offer!
You ask the guy, "How can you offer such a thing!?"
He says to you, "I am the manager of the restaurant."
If this statement of his strikes you as truth, then you believe that he is able to give you the free meal.
But guess what? You didn't know that he is also the owner! You were persuaded that he would give you the free meal based only on your understanding to be true the fact that he was the restaurant's manager.
There is no one static way to evangelize. People come to the evangelistic conversation with an array and assortment of subjective personality and psychological factors. We must meet them at their greatest needs that would preclude them from trusting in Jesus for eternal life.
They have their set of issues, curiosities, and interests that they would like addressed. If I address them to their fullest and at that point they are persuaded that they have eternal life simply by faith in Jesus, who am I to invalidate their faith?