Saved his political career by just a hair.
Au contraire, I feel quite sure that impartial news sources such as CNN and NYT will shortly be publishing quite a bit of personal information about the Senator (all in the public interest, of course, not that there's anything wrong with that, etc) that will end his career.
When you're blackmailed, you have to keep paying.
I thought that Graham was for amnesty. That’s why Rush nicknamed him, Senator Gramnesty.