Peter, could you supply a link to any and all P2SH^2 information? I'm afraid that what I found (a single short thread on the bitcoin devs mailing list) was not terribly complete (or maybe I'm just lacking on background implementation info).
I do appreciate your taking the time to teach.
That thread is the best resource on what P2SH^2 is; the question isn't so much about implementation, but rather understanding why Bitcoin works and what exactly is the role of mining.