Argument: One-state solution would end Israel as a Jewish state
Former Israeli Prime Minister Ehud Olmert said in November of 2007: "If the day comes when the two-state solution collapses, and we face a South African-style struggle for equal voting rights, then, as soon as that happens, the state of Israel is finished."
Shimon Peres. "One Region, Two States". Washington Post. February 10, 2009: "A minority of Middle East pundits have recently emerged as advocates for a one-state solution, which would undermine Israel's legitimacy and internationally recognized right to exist as a sovereign Jewish state in the land of my forefathers. [...] From Israel's perspective, it is not possible for the Jewish people to accept an arrangement that signifies the end of the existence of a Jewish state." [The reason for this is that it could not be considered a Jewish state if it housed a very large Palestinian population].
"Is the two-state solution in danger?". Haaretz. May 21, 2009: "The left in Israel has long warned that if settlement construction continues and Israel does not separate from the Palestinians, the country will eventually slide into an apartheid-like reality in which a Jewish minority rules over an Arab majority. The result, they contend: the end of a democratic, Jewish state."
Leon T. Hadar. "Only one solution to Israeli-Palestinian conflict". CATO. March 23, 2004: "There is certainly no chance that the present Israeli generation, or its successor, will accept this solution, which conflicts absolutely with the ethos of Israel as it exists today. Nor are there any signs that Arab-Palestinians are ready for such an experiment, especially if one takes into consideration that the only example of bi-nationalism in the Arab world, Lebanon, proved to be a total and bloody disaster."