Hehe, but corporations aren't actually people, its shorthand for the LEGAL FICTION of SEPARATE corporate personhood.
And there are good reasons to due that. Now at the end of the day there is a reason why the phrase 'for purposes of' is used in law and why FOR PURPOSES OF THE DUE PROCESS clause, corporations must be treated as people and entitled to Due Process.
Can the government unilaterally seize the NY Times? Of course not, they must provide DUE PROCESS.
Personally I don't really care if you want to analyze the case as a free speech case or a free press case. At the end of the day one MUST acknowledge that Michael Moore made a film critical of George Bush, Fahrenheit 911, and he did so utilizing the corporate form (Dog Eat Dog Inc was the name of the corporation) and unlike David Bossie, Michael Moore is actually good at making movies. The right of either corporation, Citizens United or Dog Eat Dog Inc, to produce content criticizing not only a candidate for public office but a seated official in the government (Citizens United attached Hillary Clinton while she was seeking the Democratic nomination against Obama while she was a seated Senator while Fahrenheit 911 obviously attached the sitting President running for reelection) lies at the very CORE of the I Amendment, its the absolute highest form of protected speech.
No one disputes that corporations, such as the New York Times Company, can editorialize during an election.