Those are all-terrain tires on there. Mud tires would have big lugs, even if they were worn down bald. I'd guess the tires are Bridgestone Dueler APT-IV tires, since they have a slightly more aggressive tread pattern than the earlier APT-III. Even if the tires in the pic are APT-III, I'd suggest APT-IV's for an even more aggressive look (and newer technology) if that's what you're after, unless you get a really good deal on some old stock tires on clearance or something.
No idea on size. 265/70R16 is a good guess. I'd suggest going more by the tire size you have the gearing for rather than base it on someone else's rig in a photo. It might look nice standing still, but drive like crap because that tire size is too big for the gearing of the particular vehicle.
The black wheels are just regular 'ol American Racing black steel wheels.
It might have a slight lift. Or the wheels might be 15's and the tires might be bigger, making the sidewalls taller and giving the illusion of even bigger tires on a vehicle with a small lift.