Before I read the article I thought your quote referred to an Iraqi. The preceeding lines add context, and important depth of understanding:

"If I had to name the definitive Kerry campaign headline it would be this, from the Associated Press last week: "Kerry Says His Family Owns SUV, Not He." Below it was a long explanation from the candidate on how that gas-guzzling Chevy Suburban in the yard was nothing to do with him. Who you gonna believe? A respected environmental crusader, or your lying eyes?

His statement is true in the sense that his "family" (ie, his ketchup-heiress missus Teresa) also owns the house and the grounds, and indeed a big chunk of his presidential campaign. But it's hard to claim that your powers of diplomatic persuasion would have won over the French and Germans when you can't even win over your "family."