This is so? 
Yes, it is.
although corporations are likely to spend on private armies much more efficiently than the state, how is it possible that they overshadow them (specifically the US) just given the money spent?
what corporations would be able to have air superiority over the US military?
or has carrier fleets?
what corporations have weapon stockpiles to rival it?
or soldiers for that matter?
i either didn't make my meaning clear, or i'm missing something big.