In the US and Germany, where support for Israel is highest, 66% & 68% still believed that Israel was killing mostly civilians. People in those countries estimated ~10K killed by Israel, though the official number is 64k and still an undercount.

That gap in perception versus reality suggests that attitudes toward Israel have not hit their floor.

Israel’s best tactic to combat this, according to the study, is to foment fear of “Radical Islam”

This is just like Mr Burns being told he's seen as an ogre and replying "Why I should club them and eat their bones!"