I voted for the only correct answer: I don't know.
On the one hand, Hamas isn't likely to announce that they think Isreal has a right to exist, so the Isrealis may decide not to play ball with them. But if Hamas continues to uphold the cease-fire, I hope they will at least try to talk with each other.
I think Olmert (sp?) is likely to succeed Sharon; it doesn't seem like the Isreali public thinks too much of BB or the Labor guy at this point. Also, sudden deaths have a way of bolstering public opinion for the dead person's party.