There isn't a (specific) word for people who do not believe in, say, unicorns, because it's pretty much universally accepted they don't exist. Once we get to the same state of affairs with respect to gods then we will no longer have a need to use the word "atheist," and then we will have "won."
Don't get me wrong, the normalization of atheists is a necessary steps, as is decreasing both the number and influence of religious people.
Someone — sorry, I'm too lazy at the moment to go back and find out who — above said that certain parts of the Religious Right (Dominionists) are most certainly not 'losing' right now. They set out their goals long ago and have been working hard ever since to achieve them. They knew it was a long game, but they were prepared to take the time because they believe in what they're doing. We're behind in that regard and also because we're not as easily organized. However, the more we can lessen their impact through any means, be it voting, exposing their lies, or otherwise directly opposing them, the better we'll all be. Education is key, because those who don't understand, for example, church-state separation, will be those who vote for public displays of the Decalogue. Then they'll get all bent out of shape when some other religious group takes advantage of some law they've passed (as Satanists have done in several cases) and the ensuing brouhaha will just wind up costing taxpayers more in the long run. It will also serve to just upset more people and lessen the chances of people coming together to support the common good.