Close, but no cigar. Corporations may be people in some legal respects, but they sure as hell can't vote. It's people like us who give politicians their jobs, and it's people like us who can just as easily take them away.
Corporations are, in fact, fictional persons created by the government. Their "birth certificate" consists of a corporate charter issued by a governmental body. They vote with their dollars, not their ballots, but, like other artificial monsters of legend, they have no soul.