Here's the Ninth Circuit's logo:

The Ninth Circuit is being sued on the grounds that this violates the Establishment Clause, because the tablets allude to the Ten Commandments and thus endorse religion. How will the case come out in light of today's decisions?

Please comment only if you have read the decisions. I'm looking for actual legal analysis (even if it's motivated by a desire to expose the errors in one or another position). No general fulminations about those awful Justices/politicians/whoever (whether Left, Right, or pox-on-both-their-houses), please. Reference to recent lower court cases is perfectly fair game — there was one recent one that is potentially on point — but it would be especially interesting to see how today's cases affect the result.