Actually it sounds like you're less of an atheist but more of an agnostic.
You are not certain of if there is a Divine nor are you certain of how it manifests.
I was like that once
As for the dreams...it happens.
For me it was finding the keys for a friend after sledding in deep snow. Looked for the entire afternoon and didn't find them. Next morning (I do not remember a dream) I knew I was goign to find them. We went there and as I was walking past a snow drift I suddenly reached into the snow and pulled the keys.
My mother's was more prophetic. She dreamed twice in one night that I was killed by getting my throat slashed. Once by a stranger, the other by my friends.
Obviously I'm not dead but it does get creepier.
The night before my Mom and Dad were away for a "Hail and Farewell" party for a pair of officers. One was leaving, the other transferring in to take his place. That night I was home alone watching the summer Olympics and I was trying to emulate the gymnastics team by doing pommel horse on a vinyl covered bar stool.
No not my brightest notion.
I took a face plant onto the kitchen floor and busted my chin. Being a boy scout I knew how to treat many of my own wounds and so I did. After an hour it was not bleeding heavily under the bandaid and in fact seemed to have stopped so I went to bed.
Mom comes in later and goes to bed to have her dreams.
During the night the bandaid slipped off and the cut on my chin was weeping blood. It went down my chin and got trapped and dried in a fold of my neck as I was sleeping.
A line of dried blood from ear to ear. Almost as if I had been slashed from ear to ear.
Mom damn near fainted dead away right then and there. Luckily my Marine dad was more practical and took me to the ER to get it sewn up.
So yeah, dreams like that happen to a lot of people. Some are more sensitive to it and can use it more than others...some it comes and goes.
For me it's never in a dream. I just get these hunches and I just "know" things. Like the last time I watched the Miss Universe pageant. Only saw the first five minutes of a three hour event and I knew that Miss Puerto Rico was going to win.
She did.