I'm not sure Deism is really theistic in any meaningful sense. In practical terms it's equivalent to atheism, in the same way that the ancient Epicureans were regarded as atheistic despite their belief that the gods existed in a material sense (but wholly apart from and oblivious to us).
I guess Dawkins sees anything that posits a god as theism, but in my view it really needs some more practical aspect. There are non-theistic views of God, after all (e.g. the ideas of Paul Tillich).
Deism strikes me as a product of its time—a time when both the belief in an interventionist deity and ontological atheism both seemed untenable. Then as people became more comfortable with the idea of a universe that was either self-caused or wholly uncaused, deism quickly went from being mainstream to being mostly a historical footnote.
Pantheism seems to be a matter of semantics, really, and even less properly theistic, despite the name. It's just one way of conceptualizing the cosmos.