Are we a club or on a mission to change the world?

As any reader of this infrequently published blog can tell, I am a very flawed person. I make no special claim on righteousness and instead rely on God's Grace as the only way He and I are in relationship. I don't profess to have done anything special to earn this grace and am convinced there isn't anything I could do which would merit this grace. Any good which I do, any beauty I create, any joy I bring is instead a RESPONSE to this grace. Left to satisfy my own desires, I'm a pretty shady character.
It has been a very long time since I decided to put my trust in God's Grace which is fulfilled in the birth, life, death and resurrection of Jesus Christ. But I can still remember my time before then. I remember feeling a bit off, adrift and estranged from something even if I was not able to articulate what it was.
So it is that I lately have come to the following thoughts, which are directed at myself as well as church leaders everywhere -

What is the path or spiritual process a  non-believer (or agnostic) under
goes when transitioning from a life lived apart from Grace into His Light  and what ought be the role of the individual believer, the church (local and beyond) and clergy in the process?
When does one cross the line from that of spiritual sojourner to believer
and what is our responsibility in the process (both specifically and
generally)?
What (if any) mechanisms are in place (denominational or in your local
church) to bring a new Christian into discipleship? How does the (your)
church differentiate between the new/baby Christians and those much further
along on their walk?

I sent these questions to some pastors I know. But I wonder if you have any thoughts or answer for me on this idea.