The Iranians chant Death To Israel because Israel is a Middle Eastern ally of the United States, who propped up the Shah. This is why the US is the Big Satan, and Israel is the Little Satan. This was all spelled out clearly by Khomeini.

You have the cause and the effect backwards. I suggest reading more about Khomeini, you might like his viewpoints. He decreed that the unmarried female protesters must be raped before being executed, so that they would not enter the Kingdom of Heaven.