They can be very territorial and protective of their property and "flock". They require some room, so they're not always great candidates for neighborhoods with small yards. They are generally ok with kids that are in their own family, but may not be ok with outsiders, especially if playtime gets rough. They can interpret rough play as a threat to their charges and deal with it accordingly, so very close supervision is needed when friends come to call. They also may not be keen on adult guests, to the point that you may need to put them in a kennel or shut them away in another room if they really take exception to someone.
Basically, if your choices are down to a Lab or an Anatolian, get the Lab. Anatolians are extremely different from Labs in temperament, function, and size. They aren't really a breed for the casual dog owner, nor an owner that hasn't thoroughly researched their function and temperament prior to getting one.
Another breed you could look at if you want something more protective than a Lab would be an English Shepherd. They are a general purpose farm dog.