I do not understand the term God to be restricted to signifying this cosmic super-being, and many professional theologians and philosophers do not either. Just read Charles Hartshorne, Paul Tillich, J.A.T Robinson or David Griffith and you will quickly see that there are other possibilities.
I've posted on this before and I refer my readers to my previous posts on God and religion, for my own views. Public discussion, however, has very seldom recognized this distinction.
I am happy to report that Newsweek has changed this trend. In a recent article on so-called "atheist" Sam Harris We learn that for Harris
The answer to the question “Do you believe in God?” comes down to this: It depends on what you mean by “God.” The God Harris doesn’t believe in is, as he puts it, a “supernatural power” and “a personal deity who hears prayers and takes an interest in how people live.” This God and its subscribers he finds unreasonable. But he understands that many people—especially in progressive corners of organized religion and among the “spiritual but not religious”—often mean something else. They equate God with “love” or “justice” or “singing in church” or “that feeling I get on a walk in the woods,” or even “the awesome aspects of existence I’ll never understand.”
Even more encouragingly
I hope this becomes far more common.