The Christmas story was misstated by those who originally purveyed it.  Such as the Church scholars who feigned ~375 CE they'd "discovered" Jesus' birth corresponded with the winter solstice to attract more of the "Holy Roman Empire's" pagan majority to the church.

Did Ms. Moore's pointing out that Jesus (alayhis-Salaam) wasn't 'white' indicate she was trying to "score a political point"?  Don't know.  But he wasn't.