It is actually not as hard as you would think.
Refer to:
http://forums.ngemu.com/pcsx2-forum/84994-guide-dump-bios-through-usb.html
for directions to dump your PS2 bios onto a USB Flashdrive. And on a side note, when you dump your bios using a custom code (as explained in the above link) you are actually copying your bios, so it does not render your PS2 useless.