A. for the using of public money in building of new sports stadiums, voters in San Diego. Pittsburgh, and Denver
--> "the using" is not required here. It should be "the use of". "in building" should be to build
B. to use public money to build new sports stadiums, voters in San Diego, Pittsburgh, and Denver have
--> Looks okay. "to use" and "to build" correctly convey the intended meaning. Also "have" at the end fixes the verb errorC. for using public money for the building of new sports stadiums, voters in San Diego, Pittsburgh, and also in Denver
--> "also in" is not redundant and not required.
D. for the public use of money to build new sports stadiums, voters in San Diego, Pittsburgh, and Denver have
--> Meaning distortion. "Public use of money" is not the meaning intended here.
E. to use public money to build new sports stadiums in San Diego, Pittsburgh, and Denver
--> Improper sentence construction. "voters" have been removed from the clause after the comma. It reflects in an incorrect clause as ".....build new sports stadiums in San Diego, Pittsburgh, and Denver changed their minds". The meaning gets nonsensical
IMHO Option B