I consider the market to be a process instead of a system, but a process that creates many systems, with or without State manipulation (with- capitalism, all the usual ugliness of privilege, IP, most private property arrangements/ without- artists, mutual aid, unions, cooperatives, communes)
I share your concerns that simply ‘freeing the markets and see what emerges’ could lead to institutions and systems that may or may not involve statist behaviors but still oppressive behaviors.
Is your approach to what you call ‘antilibertarian antistatism’ basically: ‘anagorism isn’t enough? defying the state isn’t enough? freedom isn’t enough?’
I share Charles Johnson’s sentiment here: http://radgeek.com/gt/2013/03/23/really-social-safety-net
It’s not just about participation, but the possibility of it, and the possibility of withdrawal, as a check on the emergence of institutions that merely exist for their own sake.