Biden knows that Bibi’s political survival depends on his ability to prolong the war and stand up to international pressure. It is unlikely, therefore, that the president is foolish enough to believe that he can flip Bibi on any major issue relating to Gaza or the West Bank.
Biden’s real audience at this point is the Israeli public and Bibi’s potential successors–most notably, Benny Gantz. If the next Israeli government is open to working with a viable Palestinian political entity–without any elements of Hamas, of course–on a course to a two-state solution, it will have a much better chance of normalizing relations with the Saudis, and the American political vision will have been fulfilled.
In other words, this is a long game, not a short one. It’s the man behind the man behind the curtain who matters here.