The more specific one gets about describing what one means when s/he says "God" or "Higher Power" the fewer folks one finds who believe exactly as they do. In fact, it's probably fair to say that the only God anyone CAN truly believe in is the God of their personal understanding.
Think about it. Who really believes in Zeus anymore? Or Thor? Or Zarathustra? Jews don't think Jesus is God. Neither do Muslims. Nor do most Buddhists (or at least they don't care.)
On the other hand, somewhat ironically, a Vedanta Hindu beieves Jesus was God, and — one could argue — so did Spinoza. Because in their own way, as monists, they think EVERY thing is God (well, sort of).
And yet, recent polls show that a huge percentage of the US population believes in God, and the good old boy American Bible thum... er, um... maybe I should say...Bible enthusiasts) take that as proof that we are a Christian nation. They say that about the Founding fathers as well.
Okay, maybe. But then again, maybe not. It depends on your personal opinion on what it means to be Christian, doesn't it? And after all, isn't THAT one of the reasons our nation was founded?