Host it in a different country... But it could of course still get blocked by the US government.
If this scenario played out in another business, like a restaurant, then nobody could really stop them from operating. Even if the food supply companies stopped delivering, there is a decentralized network of small farmers and transportation companies that could pick up the slack. No such counterpart exists with internet companies. You're either part of the grid or you're out. Come to think of it, that could explain a lot.
are there even any liabilities? I think that they are only trying to block communications (which probably won't work in the end)