Folks, I drawn you attention to a pretty good New York Times article, Why Israel Can’t Make Peace With Hamas. The conclusion is pretty succinct statement of the problem and what must be done ...
There is a fixed idea among some Israeli leaders that Hamas can be bombed into moderation. This is a false and dangerous notion. It is true that Hamas can be deterred militarily for a time, but tanks cannot defeat deeply felt belief.

The reverse is also true: Hamas cannot be cajoled into moderation. Neither position credits Hamas with sincerity, or seriousness.

The only small chance for peace today is the same chance that existed before the Gaza invasion: The moderate Arab states, Europe, the United States and, mainly, Israel, must help Hamas’s enemy, Fatah, prepare the West Bank for real freedom, and then hope that the people of Gaza, vast numbers of whom are unsympathetic to Hamas, see the West Bank as an alternative to the squalid vision of Hassan Nasrallah and Nizar Rayyan.
The "only small chance" is elusive to say the least. Principally this is because Israel's right-wing ultra-Zionists have done everything in their power to further Jewish settlement in the West Bank and generally undermine any serious peace process. Certainly, their most effective allies in furthering that agenda are Palesitinian and Islamist extremists like Hamas.

In large measure moderate, peace-seeking Israeliis are impotent because the Israeli proportional representation system ensures that if any party is to govern, it must seek some support from the right-wing constituencies. Consequently no sufficient compromises can be made with potentially moderate, peace-seeking Palestinian to given them any hope for a reasonable settlement, or suasion against their own extremists.

The right-wing Zionists second most effective ally is the United States whose government has show no backbone against them or the Israeli goverment they so handily manipuate. How come? The power of the pro-Zionist lobby in the U.S. is so great that no American polititian will stand up to it. Groups such as the AIPAC will ruthless fund pro-Zionist candidates and/or fund the opponents of less than ethusiastically pro-Zionist candidates. It's shameful that U.S. polititians can be so forced to act against both peace and the interests of the U.S. itself.

"Small chance" indeed.