Wiki says computer mice operate in inferred light, so the beam/dot will not be visible, however you could burn stuff with it. I'm pretty sure you could take it out and use it, just give it a driver, heatsink, case, and whatever else I am forgetting. As far as how, taking it out is pretty much a given, and assembling it shouldn't be too hard, just search it on youtube. That's all I know, you'll have to talk to an expert past that.
I think you confused a laser mouse with an optical mouse. Optical mice have an LED that tracks motion, such LEDs are red light. As I said, true laser mice operate in IR.
EDIT: you might be on to something though, try focusing that light and it might become pretty powerful. I don't really know but it seems logical. It won't really be a laser by definition, but it will do the job.