
Column A is a symbol of New Jersey's notoriously un-democratic Democratic Party primary. Under the "county line" system, party bosses in each county get to choose which candidates show up in the first column of primary ballots, then urge members to "vote Column A, all the way."
Both parties in all but two counties use this system for primaries. Because New Jersey is a safe blue state, putting a Democrat in Column A is basically coronating them for office. "Column A, all the way" has even become a slogan that politicians use to shout down protesters.