The inverse is found a a case currently before the 9th Circuit Court of Appeals, after a federal district court ruled that Kentridge High School can refuse to recognize a Bible club that won't give heathens full voting membership.
A little research shows that this ruling repudiates the decision in Hsu v. Roslyn Union Free School District No. 3:
We conclude that the club's Christian officer requirement, as applied to some of the club's officers, is essential to the expressive content of the meetings and to the group's preservation of its purpose and identity, and is therefore protected by the Equal Access Act. This application of the Act is constitutional because the school's recognition of the club will not draw the school into an establishment of religion or impair the school's efforts to prevent invidious discrimination.I'll be interested to see how the 9th Circuit responds to that (nonbinding) line of reasoning by the 2nd District.
Update: Stupid error confusing the 9th Circuit and the district court corrected. That's what I get for trying to play legal expert.