I don't see why the Firewire - USB cable wouldn't work. Unless I am confused about what you are looking to do it is a simple data transfer.
However, depending on the cost of that cable and if you have a desktop computer you might be better off getting a Firewire/USB card for your the desktop like
this one from Monoprice for $11.69 + a small amount of shipping.
If you don't have the desktop computer then you might consider a
Firewire/USB Combo hub. It costs more (about $35) but then you have extra USB ports as well, which can be helpful for connecting several devices to the limited USB ports on a laptop.