Graham's argument is 6 pounds of sh%$ in a 5 pound bag.

Unlike Parliamentary Immunity in many nations, which protects its subjects from pretty much all criminal prosecution, Congressional Immunity has been very limited.  It could be used, for example, to get out of a speeding ticket if the Congressman was on his way to a session, but not for driving drunk (Wilbur Mills) after hours.

There is also the case of William Proxmire, whose claims of Congressional Immunity were soundly denied in response to a defamation suit regarding his "Golden Fleece" press releases.

That Clarence Thomas issued the injunction, rather than recusing himself, is a very clear indication of his lack of character.