If she owned a liquor store or a donut shop, l would have to seriously consider it. If she owned both, that would be a big yes.

I wouldn't date someone who was active in a religious organization but most people who claim to believe in god only attend religious services on Easter and Christmas.

Nope. I don't date theists of any kind. I haven't had trouble finding people to date, either.

I've dated a few women in my age category and found with a lot of them religion is not a major concern of theirs. On dating sites I list myself as an Agnostic so most know ahead of time where I stand on religion. Only 1 of 23 has tried to get me join them in their beliefs. I think that's a good ratio.

Yep. Have in the past and will again.
I won't say you are too picky because you feel the way you feel I just can respect someones personal choice to believe what they believe as far as they can respect mine.
Some very tolerant believers out there because they also have issues with "organized" religions

I don't think you're too picky. Not at all.

No, you are not too picky. You, simply, know the relationship won't blossom.

Upon finding your religion(or lack of) did they whip out a Bible,and try to convert you?

If they can accept me as a non-theist (I don't believe in gods, goddesses, demons, devils, avatars, whatever) and leave me alone in my beliefs then I don't mind. If they push and won't stop that's where I draw the line.

As Southern girls say... Oh, hell no.

Any adult who still has imaginary friends is not capable of logical, rational thought. Not for me.

If you can find common ground in other things besides religion, and respect their beliefs as they respect yours, I think it would be okay. It's important to remember that, to be truly open minded means you have to be respectful of others beliefs as you would want your own. There is so much more to a person than their religion (or lack therof).