No, because a capitalist (in the friedman, etc. sense) distinguishes between free markets and ancap-competition. A free market is a construct of a state with a functioning legal system, requiring as it does, property rights (, limited liability, etc.).
Capitalism is not ancap libertarianism. Indeed, it seems quite clear that ancap is an iterative contradiction, as "rule-free competition" cannot produce free markets.
Capitalism is not ancap libertarianism. Indeed, it seems quite clear that ancap is an iterative contradiction, as "rule-free competition" cannot produce free markets.