You should be able to run 3 of those with a tri-SLI setup, although dual-SLI should also work fine. I recommend either the 570 or 580, three 480's will be uncomfortably loud.
Now, whether you will be able to run Nvidia 3D Vision will require you to have the 3D Vision kit and Nvidia certified monitors, otherwise you will be running the regular passive 3D using the glasses that come with the monitors. Hopefully, someone with some 3D expertise can chime in.
Here is the page for Nvidia 3D Vision with certified hardware listings:
http://www.nvidia.com/object/3d-vision-requirements.html