I don't believe either the hep c or cirrhosis would exclude him from surgery. Usually the concern for cirrhotics is that they often have low platelets, which can increase bleeding risk during surgery. However, not all cirrhotics have low platelets, so as FlGuy pointed out, if pre-op work-up clears him, his liver status is probably little issue. Good luck to you both.
Assuming he passes the pre-op tests I don't see an issue. But, I'm a believer in piling unpleaseant things togeter. That way discomfort and anxiety occurs fewer times rather than consectutive and continuing events.