Problems start with the preface! Are fair equality of opportunity and Quine consistent?

The preface to A Theory of Justice includes the interesting suggestion that John Rawls’s system is consistent with W.V. Quine’s system. I raise a problem for achieving fair equality of opportunity granting Quine’s system: that one does not have to respond to apparent evidence that two candidates are equally suitable for a job in the desired way. There does not appear to be a logical inconsistency between the systems at this point, but in practice regular positive discrimination schemes are probably required.