So a federal district court held last month, in Gryphon’s Nest Gifts, Inc. v. Parish of Livingston. This is the latest in a line of such cases, and thus not surprising, but I thought it was worth noting. The opinion relies chiefly on earlier precedent, so the First Amendment logic underlying it might not be clear from reading the opinion alone; fortunately the Law and Magic Blog had a post last year that laid out more of this.
Thanks to Religion Clause for the pointer.