Yep, cyclocross bikes are about the most versatile bikes out there. Slap road tires on them and ride fast or do all day rides like century rides, slap knobbies on them and ride trails as long as they're not crazy technical or too steep for the gearing, slap fenders on them and heavy tires and commute in any weather, race cyclocross on them if you'd like or just bounce around town on them. Very hard to find another bike style that's as flexible for so many uses.
And yes, Surly makes very nice cross bikes that are tough as nails and well built including the cross check you linked.
Nice bike,
-Dave