Does the behavior of the figures involved in Matthew 2 make sense?

I've seen some recent skeptical videos that repeat the common objection that the behavior of the people involved in Matthew 2 doesn't make sense (God's behavior, the behavior of Herod, the behavior of the magi, etc.). We've addressed those issues many times over the years, and I want to gather some of those responses in one place. Here are five posts I've written that address the topic to one extent or another: one, two, three, four, and five. And here's one Steve Hays wrote.