It looks to me like the ceiling joists run into and sit on the brick, that would mean the brick is doing the work.
I think you are mixing two completely different systems. Water or moisture does wick thru the brick and it would come into contact with cedar 2x4s and cedar lath and concrete based interior wall, all of which could dissipate the moister. In a modern house the white wood studs are kept away forn the brick or pretected from touching it in some way and you would have weeping holes thru the brick to remove the moisture.
I do not have a enough knowledge to give good advise here, I would talk to to the city building inspectors where you are, they probably see this often.
Now that we know you can have earthquakes out there I would also talk to an engineer about making that wall a stress wall, it's not much more than 1/2 plywood with special nailing instructions. One wall is better than none.