I'm not an atheist, but I don't believe that the biblical God was God, and therefore my views are often difficult, or more often, impossible, for those who do to understand. Until recently I would always have said immediately that I don't believe in God (meaning he that others believe in). However, a couple of weeks ago I was talking to a very gentle, and very elderly lady who was almost blind and walked with a stick, but nevertheless possessed the most beautiful smile emanating from what appeared to me to be a deep inner happiness. It sounds odd, but her face seemed to shine - it really did. Anyway, she spoke of her enduring faith which seemed so very genuine that I didn't have the heart to tell her I didn't believe in her God. It did go against the grain for me, but she was clearly so content in her faith, that I felt it would have been an act of extreme cruelty to do otherwise than simply listen to her. Had I spoken my mind, I know it would have confused her, and it would have hurt her, and I couldn't possibly have done that to her. Odd really. I spoke to her for only a few moments, but I know I will never forget her. I can honestly say I've never witnessed faith like hers. It was simple, selfless, gentle, and, quite honestly, truly beautiful.
So, my answer to the question a few weeks ago would have been 'yes, I would always say I don't believe in God', but now I would have to say 'it depends on the circumstances'.