See:http://myrightword.blogspot.com/2012/02/54-israelis-demographic-threat-all-bs.html
Alerted by IMRA (I haven't as yet received the Report), the most recent Peace Index out confirms the dichotomy in polling Israelis and proves what I and others have been claiming for years - that the proper questions are not being asked.
For example, on the issue of whether Israelis want "territories" or a "Jewish state", they found
a large majority (76%) preferring that Israel remain a country with a Jewish majority, with one-quarter preferring that Israel continue to rule all of the Land of Israel west of the Jordan. Asked how they would respond if they knew that "continued Israeli rule over the West Bank would lead to one state for Jews and Arabs in the entire Land of Israel that would not have a Jewish majority,” the majority (63%) answered that in this case they would oppose continued rule in the territories.
...
But consider this
However, the majority (54%) did not agree with the claim that continued rule in the territories will result in a country without a Jewish majority...[they believe] that continued rule in the territories will not prevent Israel from remaining a Jewish and democratic state. In other words, the public indeed prefers that Israel be a Jewish state over continued rule over the whole Land of Israel, but most of it does not believe there is a contradiction between the two objectives.
This is a powerful indictment of pollsters who never ask the obverse of the frame of reference of their pessimistic prophecies and thus, never reveal the true feelings and attitudes of Israelis.