Which type of Political Atheism is most influential in human society currently?

[Mister Agenda]

I know it's a subtle distinction, but those are types of atheists, not types of atheism. The only kind of atheism is the kind where you don't believe in God. There's only one kind of theism, too. A religion isn't a 'kind' of theism, a theistiic religion is a set of beliefs, one of which is that their version of God (or gods) is real. It's not much different from describing the theism of theists in Florida as Floridian theism. It just doesn't mean much.

So, militancy is an attitude, and the others are views that are pretty independent of atheism.

Now there are views that are particularly common among USAian atheists, like humanism, progressivism, secularism, and skepticism; if that helps.