I like this idea. The logline is definitely getting there. The SciFi elements make it harder because there's a bit of expositional stuff to get across.
At what point does the fantasy woman start stalking the family? Since it's a horror, I'm guessing probably Act I climax? But could be midpoint? That could have an impact on how the logline works.
If it's the Act I climax, then the inciting incident is the moment his family get their first threat. If it's the midpoint, then the protagonist needs another goal to get him through Act II.I (assuming a 3 act structure) until the first threat.