Here are two amusing-but-serious columns about the relations between the Haredi part of Israeli society and the rest. The first, by Shachar Ilan, a secular observer and critic, until recently at Haaretz, offers 18 positive things about the Haredis. In response, Yaacov Rivlin, a Haredi blogger, finds 18 positive things to say about the secular Israelis. (Though his mostly Haredi readers rather disagree with him).
I don't have the time to translate right now, so Hebrew-challenged readers need not follow the links, alas. Here's one from each side:
Ilan about the Haredi: They read. Really.
Rivlin about the secular: Every few years they go to the polls and vote according to their own decision.