I don't know who they supported or didn't, but if this is true, perhaps it is because of economics. These people are mainly poor Sefardim. Perhaps their are people promising them jobs and other economic help etc. (or someone to stand up against the Askenasi elite)
You're right, most of them are Commies who hate settlers and Haredim.
But from what I have seen and heard on the issue of arabs I believe they want them out. They also want Israel to hit Aza hard.
It has absolutely no connection to the subject. Commies always love the Arabs from far away, as long as their own arses are not involved.
That is why the leftists don't care about them and don't do anything, because they (people in Sderot) are not part of them (the leftists).
Again - no connection. Most of the people hit are flaming Kibbutznikim (such as Kibbutz Ein HaShlosha, which hosted the headquarters of the Disengagement, and had a resident killed by a rocket in April) and the regime does nothing. The regime is just afraid of the world.