The problem is not that Israel doesn’t want a 2-state solution, the problem is that Hamas wants a one state solution: A Palestinian state with all the Jews pushed into the ocean.
The majority of people in Israel do actually support a two-state solution. Of course, they’re also going to want Israel to maintain its security in the process, but the Two-State Solution is supported.
Poll: Most Israelis, Palestinians support 2-state solution
http://www.timesofisrael.com/poll-most-israelis-palestinians-support-2-state-solution/
majority of both Israelis and Palestinians support a peace agreement based on the two-state solution formula, a Hebrew University poll found, though many respondents reported that they were skeptical as to the sustainability of such an agreement in the long term.
The study, conducted jointly by the Harry S. Truman Research Institute for the Advancement of Peace at the Hebrew University of Jerusalem and the Palestinian Center for Policy and Survey Research in Ramallah, found that 63 percent of Israelis and 53% of Palestinians support the establishment of a Palestinian state alongside Israel, the university said in a statement Tuesday.
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ALSO REMEMBER ... that 20% of the population of Israel are ARABS and are ALSO CITIZENS of Israel and voters.