It worked. Here's what I did:
Transplanted processor, memory and hard drives into new case with new power supply and new intel motherboard.
Sucessfully booted into windows.
Installed chipset and graphics drivers.
Then I got a message saying, "Your copy of windows might be conterfeit."
So, I called Microsoft.
Asked for a supervisor.
He asked for the COA from the sticker on the case of my old, now gutted, system.
He activated my OEM windows for the new Mobo.
So far, so good.