I also use a scoped rifle. I have on occasion used a shotgun, but 99% of the time you'll catch me holding a scoped rifle on my night calling stands.
Open sights are a pain in the butt when trying to use a light at night time. Handguns put you at a major disadvantage, scoped or not at night. Shotguns work good, unless the animal hangs up slightly out of range, which is very common(for me anyway) at night.
The logical choice for my night hunting is a light weight scoped rifle. With good optics(lower powers), and duplex crosshairs, it's very easy to get on target quickly. It's also possible to actually view the animal instead of shooting at eyes, which allows you to identify the target. There's no quicker way to loose your hunting rights on a place than to accidently shoot the owners dog, or cat while after predators.
My rifles wear fixed 6x scopes. This power is just about a perfect compromise between enough power for longer ranges, and still low enough for good light gathering, which is a neccesity for night hunting.