I've learned that Christians appear to view Satanism as a separate theology from Christianity, whereas at least one pagan views Satanism as a subset of Christianity due to Satan being a figure in Christianity. I can see why both sides would have that perspective.
As with most things religious there's a lot of complexity, but I'd think what the Satanists believe might matter a little.
As Ron mentioned, most Satanists identify themselves as atheists (LaVeyan Satanism is the major example of this) and they view Satan as a hypothetical example of ideal human traits. Some of the traits, I might add, that APS as a whole might agree with. Others not so much.
Theistic Satanism views Satan as a real, supernatural deity. This might fit more with dogmush's labeling, but I confess I don't know much about that branch, and while I've met some atheist Satanists I've never met a theistic one.
I'm kind of curious if dogmush's personal Paganism is true theistic Paganism in which he believes the gods are true supernatural beings or if it is an atheistic paganism more along the lines of atheistic Satanism.