I already suspect that I'm not going to like the answer, but I'll ask anyway.
My home has a screen porch, and in this section, the brick facade is starting to fall away from the house. It was caused, I believe, by continual water leaking onto the ledge-- the porch is covered by a flat roof that was not properly attached to the rest of the roofing system, and water had been getting under the connection, and that water would drip onto the ledge. (I think this because it is not a problem around the rest of the house, and I can also see water staining on the wooden panels directly above the ledge.) That problem (which did not happen on my watch) has been fixed.
Anyway, I can think of how to jack the facade back into place, but re-attaching it seems like a problem. I know that when it was originally built, the facade was attached to the studs of the wall between rows of brick. Because it has pulled away slightly, I can tell where the studs are, and it wouldn't be too hard to anchor the bricks back. However, I'm concerned that the type of fastener that I need to hold the weight of the bricks would compromise the strength of the 2 x 6 studs.
Any direction a professional could give me would be much appreciated.