This surreality of corporations can (ought to) figure prominently in anti-capitalist agitation, and a more coherent left with the mass basis might even (if the proper technical hook could be devised) organize campaigns of mass action around a demand to cut the privileges of corporations. (Analogue: say the anti-war movement had launched petitions for a constitutional convention to write an article forbidding the use of U.S. military outside the 48 (not 50) states.)
Such a constitutional change is no more (and of course no less) inconceivable than through legal means changing the status of constitutions. Foreign use of troops and privileges of corporations are NOT policies that a capitalist regime can choose or reject. They are part of the very fabric of a capitalist regime, and to eliminate them is inseparable from the elimination of capitalism.
So it would be silly to seriously want to "replace" corporate "human rights" with something else; but properly formulated and embodied in a program of mass struggle, the critique of these rights can help illuminate the inner destructiveness of capitalism.
Carrol