Israel wants to keep fighting to further weaken Hamas, while it still can, and to put pressure on France, Egypt, and the U.S. to come up with a viable post-war order.
Egypt wants Israel to keep fighting Hamas. Its post-war order includes a "reconciliation" of the Palestinians with the PA (Abu Mazen, Dahlan, etc.) restored to Gaza and Hamas weakened. It is not terribly enthusiastic about NATO or U.S. forces on its side of the border.
France wants its cease fire initiative, whatever it may be, to succeed, as soon as possible. It cares mainly about convincing Israel to stop fighting now. Whatever happens down the line is less important to Sarkozy at the moment.
The U.S. wants Hamas weakened AND a cease fire as soon as possible.
Hamas wants to go down as the Palestinian Hizbullah, and to improve the status quo ante - exclusive political control over Gaza, maintenance of its rocketing capabilities and arms smuggling, PLUS opening of the crossings.