What would happen if churches started impossibility groups instead of accountability groups? What's the best climate for character change? 

Historically in the Church the unspoken equation has often looked like this:
Community + Accountability = climate for character change

As you may have guessed from the title, I am not a huge fan of accountability groups.  I am all for transparency and vulnerability and a firm believer that our relationships are only as strong as they are humble, as deep as they are open.  My difficulty is with believers gathered together primarily for the purpose of ensuring they have safeguarded their lives against temptation.  I am simply not convinced that such a defensive posture is a biblical model, or that accountability is the most effective climate for character change.  My belief is that God uses impossibility more than accountability to create a climate for character change.

Community + Impossibility = climate for character change

It's his kindness that leads to repentance. 

I'm not sure that Jesus was ever part of an accountability group.  I am aware prevailing wisdom suggests that Jesus sent the disciples two by two for protection. I am not so sure. The number two in Hebraic thinking was synonymous with witness.  It is just as likely that Jesus didn't send the disciples out in twos so that they could hold each other accountable but so that together they could bear witness to the impossible. What if his perspective wasn't on restraining but on releasing. What if he was thinking one can chase a hundred and two...well two could change a city!

Whilst I'm not sure that Jesus was ever part of an accountability group, I am absolutely certain he was part of an impossibility group!

Continuous exposure to the coming kingdom is fertile soil for life change. Witnessing the intervention and the inbreaking of the coming kingdom causes disciples to re-think their world in the light of that kingdom.  As a result they begin to change the way they think, humbling themselves and posturing their hearts towards change.

What would happen if churches started impossibility groups instead of accountability groups?