To whom should we preach?

John Schroeder (Blogotional) has reopened the discussion on who should be the recipients of congregational preaching: the lost or the redeemed? He's inviting discussion:

Now I'd like to issue a challenge to those in the "preaching can do both in the same context category." It's twofold. Please provide an exegesis of Hebrews 6:1-2 as quoted in my original post linked above and apply that to preaching within the context of regular Sunday worship. Also, what model would you have a church follow in terms of organization and structure to provide for both outreach and maturity within the context of a Sunday morning.?

John has received a couple of good comments and has prompted related posts from The Broken Messenger and Adrian Warnock. I'm sure he'll welcome more.