If it works anything like the Razer Naga Epic, which I think it does, then yes you'll have to connect it via USB for the wireless dongle to get the signal from the Razer Mamba... the Mamba isn't bluetooth, so I'm not sure how else it would connect in your thinking.
The wireless keyboard, if it's the Apple one connects via Bluetooth I believe. If you want BT wireless Razer mouse, then the Orochi is for you.