I get your point, but I still think the state functions as a kind of restraint from an otherwise all-out corporate takeover. Even if our democracy is lacking today, it would be completely vanished in a corporate world.
It would be inevitable that megacorps like Google of Facebook or others would simply buy up everybody else. Much like is happening today already, but tenfold worse.
Without states to keep the peace, what's keeping corporations from even accumulating private armies and waging war? A corporation could easily take over a country whose state is deprived of it's power to defend itself.

And when you get down to it.... I mean.. just ask yourself, would you rather fight and die for your country, or for your employer?