Before the Arizona legislature adjourned for the year, it passed SCR 1013. The proposed constitutional amendment will be on the November 2010 ballot. It asks voters if they wish to re-name the Secretary of State as the Lieutenant Governor. See this story.
Arizona has never provided for an officer named “Lieutenant Governor”, and instead has always said that the Secretary of State will become Governor if there is a gubernatorial vacancy. The measure also provides that Governor and Lieutenant Governor will be elected as a pair in November, although the two offices would continue to be separate in the primary. This system of separate voting for the two offices in primaries, but together in the general election, has not been successful in Illinois. The Arizona legislature should probably have provided for a proposed change that would require teaming up in the primary as well.