Creates the Teacher Admission at Local Public Museums Act. Defines "Illinois teacher" and "local public museum". Provides that a local public museum shall provide free admission to an Illinois teacher. Allows the local public museum to require that a person provide identification or documentation showing that the person is an Illinois teacher. Provides that the Act does not apply to an exhibit in or portion of the local public museum that requires an additional payment in addition to the cost to enter the local public museum, or special events held at a local public museum not open to the general public. Provides that, to the extent the Act conflicts with any other provision of law, the Act controls. Limits home rule powers by providing that the regulation of free admission for Illinois teachers at local public museums is an exclusive power and function of the State.