"Facebook is trying to get people to remove this picture from their profiles..."
"...because it is "offensive".
No, they're not.
http://www.snopes.com/politics/christmas/nativity.asp
In December 2012 the image and accompanying message reproduced above were widely circulated on Facebook, exhorting viewers to foil that social networking site's alleged efforts to bar or discourage users from posting an image of a nativity scene because some unnamed entity had declared it to be "offensive."
There was nothing to such exhortations. Facebook wasn't then, and isn't now, banning users from posting pictures of nativity scenes, or other depictions of Jesus, or religious images in general, nor has it attempted to pressure users into removing similar material that has already been posted. Images of nativity scenes can be viewed on many different current Facebook pages, and the specific image displayed above has been shared countless times across that social network.