The Chairperson of the Senate Standing Committee on Elections and Constitutional Amendments and the Chairperson of the Assembly Standing Committee on Elections and Redistricting shall meet with the Secretary of State and assist the Secretary of State to the extent that the participation is not incompatible with their positions as Members of the Legislature. For purposes of this division, the chairpersons of the committees named shall constitute a joint interim legislative committee on the subject of this chapter and Chapter 3 (commencing with Section 19200) and shall have the powers and duties imposed upon those committees by the Joint Rules of the Senate and Assembly.