@Cycloptichorn,
I think both the president and the administration are confident (having considered all of your points) that the new ruling is
not an infringement on religious rights, and, also (from the points you have made) the religious community might be on shaky ground (although they gave no indication of being so).
There's precedent, I believe, for the 'polygamist' issue although I couldn't give you the details (I think it was many years ago).
We Amish, of course, are exempt