We have always had that view.
What? Actually the church has never held that view.
The church historically practiced polygamy and continues to include polygamy as a part of its doctrine. (I know many LDS men who are "sealed" — or religiously married — to multiple women who have either died or divorced them, meaning they believe that after they die they will have multiple wives.)
We can quibble over whether the word "recognize" makes the statement technically true about the church's current stance — I can already anticipate someone pointing out that the church doesn't currently ask the government to "recognize" polygamous temple marriages — but in the past the church absolutely wanted to have open, real-world polygamous marriages that were recognized. So from a historical perspective this statement is nothing short of a lie.
And I'd disagree with the counter argument over the word "recognize" and say it's pretty close to a lie about the church's current postion; after all the church itself "recognizes" polygamous marriages, even if the government doesn't.
I'm all for rigorous debate on this topic. I understand and respect the fact that many gay marriage proponents and Mormons (and people who are both, such as myself) have varying views on this topic.
But I'm nothing short of appalled when an official statement includes something that is so obviously misleading.