I think you should extract SBR file from 9361-8i with megarec.So, let's break this into pieces.
#1. Does anyone know of a way I can extract the firmware from a stock LSI 9361-8i?
#2. Does anyone know of a way to circumvent the "Image does not match Controller Device" error listed above?
With these two questions answered, I would then be able to properly attack the Intel-->LSI crossflash process.
MegaRec -readsbr <n> <image>
and probably SPD
MegaRec -readspd <n> <image>
9361-8i firmware is on Broadcom website.