The articles today make it seem like it's going to be an uphill battle.......we'll see.
From Mike Allen to my email inbox today:
Three Republicans did not vote: Cochran, Ensign and Graham. Of these, Graham is gettable, but it would be tough to envision either of the other two Republicans voting for her.
A lot will depend on what happens in the June 8th primary here. If Gowdy upends Inglis in SC-4, Graham may feel like he needs to cast a symbolic vote against Kagan, and you can bet that Graham certainly won't agree to being the lone Republican to break a filibuster no matter what happens in the primary.
That said, I'm doubtful that the GOP will attempt a filibuster of her unless they can get bipartisan support for a filibuster.