Scot McKnight, in King Jesus Gospel has, along with N. T. Wright, refocused us on what the gospel actually is in the New Testament. Despite the embarrassment of the Gospel Coalition, whose key players for some time have been trying their hardest to plug the leaks in their sinking ship.
Sorry, the truth doesn't care. The gospel is the good news that 1) our God reigns (Gospels) and that 2) Jesus is king (Paul), 3) along with all the good stuff that entails (Acts). It's not about how to get saved and, although our salvation is part of the good news, it is a minor part. It is more an implication of the gospel than the focus of the gospel. In Luke, the gospel is primarily good news to the poor and the disempowered (thus the GC conference this year where they will apply all their intellect to argue that the earth is flat).
Here's the next step. Since the gospel is God and Jesus focused--not me focused, not my salvation focused--this has implications for what it means to "evangelize" and what "evangelism" is (since it is the verb, "to proclaim the good news") and what an "evangelist" is ("someone who proclaims the good news").
An evangelist is someone who proclaims the good news that our God reigns (Gospels) and that Jesus is king (Paul), along with all the good stuff that entails (Acts). To evangelize is to proclaim to others the good news that our God reigns, that his kingdom made its Normandy landing in the ministry of Jesus (Gospels), that Jesus is God's king over the cosmos (Paul). That proclamation is evangelism.
True, going would seem to be part of this evangelism and, yes, such preaching aims at a response. What response? Confession of the lordship of Jesus, of course, since he is king (Romans 10). Repentance and submission to the rule of God, of course (Gospels). Such a response of course means you will be saved, but that is a consequence. The focus is on the reign of God and his Christ, not on me.
A final word on the Great Commission. The Great Commission is about making disciples. Nothing is mentioned about evangelism, although evangelism certainly fits with the Great Commission. But evangelism is not mentioned. You make disciples by 1) baptizing them and 2) teaching them. Baptizing does get them in, but involved a confession of Jesus as Lord and thus submission to his kingship. Becoming a follower was thus not a matter of praying a sinner's prayer or a moment of justification.
Once we have a more accurate understanding of the gospel, then we'll have to have a more robust sense of evangelism too.