Don't get me wrong, a voltage supply will work for laser diodes, but not when it's set to 5V. It's safer from a hobbyist/user point of view to go with current-source, but voltage can still work if you set it to an appropriate voltage.
Well if Xplorer877 gives this driver i will use THAT driver only simple. They all say that the diode A-140 works best @ 1 amp so ill take 1 amp and not more.