Has Israel indicated it will begin earnest peace negotiations IF Hamas and Fatah form a unity government? No, -in fact just the opposite. Israel has repeatedly said it cannot negotiate with any government that includes Hamas. Then it blames Fatah for it's inability to control all the territory (including Gaza) as a second excuse to block negotiations. It is a perfect example of Jewish circular logic.
U.S. House Speaker Boehner brushes off call for his ouster (Reuters)