It's the newer version of the modchip the SCPH-39001 PS2 I owned before I returned it had - a M-Chip 2 modchip.
I'd say try disabling the chip, since you already have FMCB installed. From searching it seems to be a cheap China clone like this one. I don't know what kind of chip that is, so maybe someone else can reply, but if nobody does I'd search online for how to disable other PS2 mod-chips and try that to see if it works.
It's supposed to be a Mars Clone.
It's disabled/put into PSX-mode by double-tapping the power button (At least the M-Chip 2 works like that).
It shouldn't conflict with any software/hardware... because it doesn't seem to be designed to do that (Doesn't block, or use certain parts of the PS2).
Unmodified SCPH-77006 with SM 3.6
SCPH-39006 with M-chip modchip, SCPH-10281 NA and refurb Seagate 80GB HDD
SCPH-10000 v1.00 with SCPH-10190 PCMCIA NA and SCPH-20400 HDD unit