I'm not sure that I understand all of what you said, but it sounds mostly right. I would like to clarify that Christ is not God's Son because he was born in Bethlehem. Christ was literally born in heaven before anything was created. Consider Proverbs 8, John 3:16, 17. Christ (in the figure of wisdom) is said to have been "brought forth", literally, born before the world was created. Also, in order to send a Son into the world, don't you have to have a Son.