While I agree the state is non-essential to the capitalist system, its absence would not make capitalism apolitical. The natural rights of life, liberty and property---the building blocks of politics---are implicit in voluntary relationships of any kind, including your would-be apolitical economic system.
Likewise, an ethics of rationality and self interest, an epistemology of reason and logic, and a metaphysics of a stable and knowable reality underlie economic freedom.
Unfortunately, this is a perfect example of libertarian shallowness. Try as you might, there will never be an economic escape for libertarians from the imperative of philosophy.
RE: Can Capitalism Exist Without a State?