Marxism might itself be described as a kind of critical philosophy of social schisms (history is the history of class struggle...)
Capitalist ideology consists, from the Marxist perspective, in varying degrees of "false consciousness" or bad faith. (Surely the first industrial capitalists could not help but know their activity was exploitative...)
Possibly a "diagonal" reading could be constructive here: what becomes of social schism (class struggle) under late capitalism...? Neoliberalism attempts to veil itself as proffering "neutral" (technocratic) ideological positions, when in fact this assumption of possessing a "non-ideological" position is itself a kind of epitome of ideology.
In passing, Zizek is particularly lucid in his working through of some of these paradoxes -- perhaps Absolute Recoil would be a good text to start thinking with these problems...?