These policies are unconstitutional. The basic constitutional principle is simple. If a public institution opens up its facilities to use or rent by outside secular organizations, the same institution must open its facilities to religious organizations, including churches, on a nondiscriminatory basis. Any discrimination whatsoever violates the constitutional guarantee to freedom of speech. Equal access means equal treatment.
Any discrimination is unconstitutional.
Religion is not a disability. Whenever government makes you take the back seat of the bus because of your religious faith or practice, the government must be challenged and its practice must be altered.