This seems to get asked a lot on Google, and it's a good question.
Sociopaths usually stick up for their children, sometimes to a crazy extent (think Texas Cheerleader Mom). But mother crocodiles do likewise: they give rides to their young, put them in their mouths without swallowing them, and kill those who would prey on their young.
Yet it seems doubtful that crocodiles have quite the same tender feelings and sense of attachment that mammals do. I can't say for sure, but my guess is that reptiles, as protective as they can be, just don't seem to have the same depth of feeling.
Maybe sociopaths -- reptilian creatures that they are -- actually feel somewhat positively toward their young. They certainly know they are supposed to feel that way. But do they actually feel the same deep-seated warmth and affection that nonsociopaths do? I don't think so; they're simply not constructed that way.
Some sociopaths abuse and even kill their young. Diane Downs shot all three other children in the back seat of her car in 1983, killing one, and leaving one a paraplegic, and the third partially paralyzed in the face. When the Oregon police arrived, she blamed it on a bushy-haired stranger. But instead of being hysterical, she calmly asked the police was if the damage to the car's rear seat was irreparable.
Charlie Manson's mother, presumably as sociopathic as he, once tried to sell him for a pitcher of beer.
In 1995, Susan Smith drove her small children into a lake in South Carolina and let them drown so that they would no longer stymie her romance with a wealthy local man.
Most sociopaths, of course, do not murder their own children. But do they feel the same devotion, the same maternal or paternal protectiveness? Do they take the same playful delight in their company? It seems unlikely.
I've seen sociopaths who are proud of their children, who view them as little trophies. I've also noticed that the extent to which they want to be seen with their children depends on the child's attractiveness. But pride is an altogether different emotion than love.
So the answer to the question posed in the title of this post seems to be: not to the same extent, if at all.
This doesn't mean, however, that they are not more likely to slash you if you cross their child's path.