I've been reading about the alesis multimix hardware since I'm still researching which recording interface I want to have.
Based on what I've read, youwill not be able to record your drums into seperate tracks using.
If you has the firewire version of it, then you could record each of your inputs to seperate tracks, however, due to the lower speed of usb, the usb model only allows you to record into a single track.
so basically, the answer to your question is, not with the hardware you have