No health care facility or program that meets the definition and scope of an alternative health care model shall operate as such unless it is a participant in a demonstration program under this Act and licensed by the Department as an alternative health care model. The provisions of this Act concerning children’s community-based health care centers shall not apply to any facility licensed under the Hospital Licensing Act, the Nursing Home Care Act, the Specialized Mental Health Rehabilitation Act of 2013, the ID/DD Community Care Act, the MC/DD Act, or the University of Illinois Hospital Act that provides respite care services to children.