No, I don't think so. It's an 18th century idea - basically, people were trying to be rational and spiritual/religious simultaneously, and I think we're at a point where that's no longer necessary. If one is inclined to religion and tradition, one will likely choose that intellectual path. If one is inclined toward the physical and science, then that, which was still in its infancy in the 18th century, will be the choice of path. They're now pretty much mutually exclusive. At least I don't see a way of reconciling them in the present.
As long as "Why is there something rather than nothing" is an open question, people will posit some sort of creating entity, and "Being that set the Universe into motion" is basically a god by any sort of definition, even if it isn't an omnipotent being or even a currently-existing being. There's plenty of room for Deism as a modern tradition as an answer to that simple question: "Why is there something rather than nothing."
EDIT: Although, as per my previous post, it won't be an organized movement, just, like DC Fine mentions, a kind of default position for people who have abandoned their "religion" but haven't abandoned their belief in some sort of God.
