I'm atheist. My OH is religious. (Christian - I don't know what kind?) We also live in the bible belt.
We have agreed that we won't tell our children what to believe, but will tell them what we believe and let them choose for themselves. It's not something I plan on bringing up unless they ask. There are things they will notice and probably ask about - such as how when someone sneezes, OH says, "God bless you," and I just say, "Bless you."
OH, on the other hand, is like a walking encyclopedia and wants to start teaching them about EVERYTHING as soon as they are old enough to listen. He has promised that when he tells them about religion, he will not make it a "this is how it is" type statement, but more of a "this is how some people believe it to be" one. In return, I have promised not to say that I think his beliefs are wrong and won't explicitly say whether I believe or don't believe in God unless asked.
I do actually think it's a great thing for children to be taught about different religions, whatever the beliefs of their parents. I took a Philosophy class and loved it. The religion part of the class made me roll my eyes quite a bit and I had a good time debating certain topics with the professor. A lot of people left the class saying that they believed in God more strongly than they did at the beginning of the semester, while I walked away feeling that I had more reasons not to believe. Anyway, the class made me THINK, which is the part I liked. I would like my children to be told why certain people believe certain things and figure out why they do or don't believe for themselves.