"Like millions of other New Yorkers, my wife, Lynn, and I have a personal stake in what the state’s laws have to say about marriage. Until this past Sunday, our marriage of 21 years enjoyed unique standing in New York state. That is no longer the case, thanks to a redefinition of what the word marriage means in New York. The definition of marriage, according to our civil law, now includes other relationships not at all like the bond shared by my wife and me."
The "personal stake" he's referring to is, of course, that he is apparently being oppressed by the state of New York legally equating same-sex relationships with the type of relationship he and his wife are in. This is what I like to call the "Poor poor us, we don't have the specialest type of legal relationship anymore!" argument against same-sex marriage.
It's all quite similar to how the 19th Amendment oppressed men by taking away their "unique standing" as the class of citizens with the legal right to vote. I mean, it was a small step towards the audacious recognition that women... might be equal to men.
Quick, somebody notify the National Assocation for the Advancement of Straight People! Oh wait, the Catholic Church is already on it.