The way I see it, the null hypothesis has an application within the context of a specific dialectic. It's a default assumption that holds only as long as we are considering your claim, and only until the claim is proven or abandoned.
We don't willy-nilly start believing that the moon is made of cheese, just because you say it isn't. Rather we say, "since you bring it up, let's assume for the sake of argument that the moon is made of cheese, and see how you go about falsifying that assumption."
As soon as you falsify the null, or abandon the claim, we happily go back to whatever axiom or paradigm about the moon's composition that we generally espouse.