What is considered offensive in Israel?

Answer 1

Israel is a modern Western State, so people while being somewhat sensitive as concerns religious issues are not as offended by it as Muslims in Arab countries would be or Hindus in India might be. Asking why a Jew might do "x" or "y" in Israel will be treated like a cultural question and not an assault on their character or religion. However, symbols such as the swastikas and foul names for Jews are seen as very offensive. In addition, violating Jewish Law in observant neighborhoods is seen as offensive by the local residents.

Israelis are also offended by insinuations that Israel does not have the right to be a state. Israelis are very patriotic and to assert to them that their state has no valid grounds for existing is seen as antagonistic. (This is no different than if a French person were to come to America and proclaim that all the Americans should go back to Europe because the USA is not a valid country.) Debating the solution to the Israeli-Palestine problem with Israelis is completely acceptable, even disapproving of the Israeli government or military's actions, just not the idea that Israel's existence is invalid.

Save those two issues, pretty much everything goes. Israel has strip clubs and a pornography industry, they are willing to speak English with foreigners, Israeli society is multicultural with various religions, and free speech is both guaranteed and protected.