Wasn’t Orrin G. Hatch also pushing for Souter, for just for Ginsburg? I understand that Orrin dislikes McCain too.
As I recall, Hatch supported Ginsburg in a naive effort of avoiding future judicial fights for Supreme Court nominations. Of course, compromising with leftists always leaves leftists wanting more. Fewer than ten Senators voted against confirming Ginsburg. McCain voted for her confirmation, as I recall.
Rudman was the driving force for Souter. Sunnunu also played a role, as I recall.