Notwithstanding the provisions of sections 19-907 and 19-908, the village board of trustees may, except as set forth in section 19-912.01, provide by ordinance that it shall constitute a board of adjustment, and in the regulations and restrictions adopted pursuant to the authority of sections 19-901 to 19-905 may provide that as such board of adjustment it may exercise only the powers granted to boards of adjustment by section 19-910. As such board of adjustment, the village board of trustees shall adopt rules and procedures that are in harmony with sections 19-907 to 19-910 and shall have the powers and duties of a board of adjustment provided for in such sections, and other parties shall have all the rights and privileges provided for in such sections. The concurring vote of two-thirds of the members of the village board of trustees acting as a board of adjustment shall decide any question upon which it is required to pass as such board of adjustment.