Question: religious services in library meeting rooms

I am researching the question of whether public libraries, when they open up their meeting rooms to outside groups, have to allow the rooms to be used for religious services. I understand there is a case in California being decided now, Faith Center Church Evangelistic Ministries v. Glover, and wonder what the implications would be for New York State public libraries if it is decided in favor of the church. Will all public libraries in the country have to allow religious services if their meeting rooms are used by outside groups? Is there any way a library could avoid this?