Sen. Lindsey Graham Works with Democrats on Amnesty Bill for Illegal Immigrants Here it comes Sen. Lindsey Graham (R-SC) is reaching across the aisle to work with Democrats on legislation that would give amnesty to illegal immigrants. Graham is talking to Sen. Dick Durham (D-IL) to work on amnesty legislation that will be palatable for establishment swamp rats of both parties. If we can reach an agreement soon, very soon, we will have the base bill reintroduced and then that will be our starting point to build support as well as consider any additions, too, Durbin, who will lead the Judiciary Committee in the Democrat-run Senate, said to reporters.