If I can say where I think we're going in this discussion, at issue is whether one can provide more compelling mundane arguments for various positions. Your take on the Pharaohess surely leads you to conclude that the narrative was 'borrowed' by someone who transposed that narrative on Jesus' birth.
I might agree with that, but for various things I have experienced, during the course of my existence which I know rule out human intervention-manipulation. Those things resoundingly rout all human explanations that I can think of.
Fortunately, if only for my own sanity, not all of this information is entirely personal in nature. But leaving my own experiences aside, I see a very similar thing going on in the public theatre, and here's how I might answer your position on these mysteries.
Christianity, which is perhaps just one major example, has a legacy based on alleged miracles and interventions, many of which I see as being commensurate with otherwise audacious nature of the cannon gospels.
Unfortunately, of course, many of these accounts are confined to antiquity which makes them very hard to evaluate.
To my understanding, one modern example would appear to be Fatima. Are you familiar with the basic story, and how might you explain that episode in mundane terms?