A Diatist is someone who worships God, but does not believe in organized religion.
I believe a diatist does believe in the existence of a God, but not necessarily the Christian God, just a God. They aren't Christians, but they are just one prayer away from it. They also don't believe in organized religion, and if the real bible thumpers knew that Jesus says not to worry about all that church going stuff (I'm paraphrasing.) He basically says, don't sweat the small stuff and leave the big stuff to me.