Trisk

Not to answer for him, but personally, I thought "religious" referred tothe degree to which you followed a certain faith. For example, some people identify with a religion, but aren't devout followers. They might say "I'm Catholic, but I'm not religious", where someone who goes to prayer services regularly or who really believes in their book of prayer would be more inclined to label themselves as religious.
With that mindset, I thought that "extremely non-religious" meant "I don't identify with any religious group, and I might even be against the idea of organized religion."

That said, although I consider myself Jewish, it doesn't affect my opinions/beliefs on things very much, so I voted not religious and conservative.
I describe myself as right-leaning to people, becuase there are a lot of issues that I'm very liberal on (moral issues, like gay marriage and abortion...many of the things that are associated with religion), but in terms of economics and some other things, I am extremely conservative.