Sharon does have high demand right now, but that's because that's how Israelis feel. I mean, we gave Palestinians some area an an authority, and terror got worse. If we'll give them a country how can we be sure they won't continue with it? If, however, Arafat will be able to stop terrorists, Israelis will slowly become more left winged, and then, like in any other democracy, the PM will have to be more left winged.
I once heard about someone who said life is like a pyramid. You need to have the base before you can be happier. Happier people are willing to give up more in order to preserve what they have. The only problem is that security is one of the most basic needs, and today Israelis don't have it.
Dogberry - The PFLP is a terror orgenization, convicted of killing civilians (including several car bombs in the week before we killed him), and their leader was wanted by Israel. He didn't turn himself in, and the Palestinians didn't turn him in or allowed us to take him and put him on trial, and therefore Israel had no choice.
Ze'evi, however, didn't kill any Palestinian, he just had strong opinions against them. Israel don't kill people because of their opinion. If we would like to do so we could just shoot some rockets into one of those rallies.