Washington Post Poll shows that 52% of the people in that state support same sex marriage, while only about 43% oppose it.
Since this is now a big issue, the Gallup Poll decided to see just where Americans stand on their own sexual preferences. The chart above shows their results. That 3.4% who admit to being LGBT seems a little low to me, but if you add in the number who say they don't know or refused to answer you get a more believable number -- about 7.8%. Frankly, I believe straight people would be quick to claim their heterosexuality, so the DK/Refused category is probably mostly LGBT people who are not yet ready to leave the closet.
One thing that does not surprise me at all is the demographic breakdown by age. It shows a significantly higher percentage among the 18 to 29 group admitting to a same-sex preference. These young people have grown up in a far different and more tolerant world than older age groups. They don't see homosexuality as an evil, like many of their parents and grandparents. And they are therefore more willing to experiment sexually, and to be more open and honest about their sexual preference. Here is the age demographic chart from the poll:
political demographic. The Republican Party has been vicious in their attitude toward the LGBT community, so it just makes sense that most of the people in the LGBT community identify themselves as either Democrats or Independents. Personally, I'm surprised the Republicans have any support at all from LGBT voters (who support President Obama by more than 71%). Here is the political demographic: