The title is misleading. This isn't parallel to the Abraham story.
I agree that the core problem is the same.
When I saw the story, this is the first image that came to my mind. My mind might be misleading but this really is the first thing that I thought of.
No argument from me that the father is not claiming god came to him and told him to kill his son. But he claims that he killed his son due to god's biblical commands. That's enough for me.