I think that's an overly simplistic and false view of Israeli-Iranian relations since 1979.
Israel had tried to help Islamist Iran negotiate with the US through the Contra debacle, shared intelligence with Iran against Iraq (failed reactor bombing) and outright sold weapons to Iran to support them against Iraq.
There was a naive belief in Israel that the daily "Death to Israel" chants are just rhetoric like in the arab countries it used to deal with, and Iran can be a quiet ally like before 1979
At the same time Iran fought Israel through their mercenaries in Lebanon up to the point where all of Iran's resources were consumed by the failed attempt to encircle Israel, which has collapsed completely in the last two years
Israel had tried to help Islamist Iran negotiate with the US through the Contra debacle, shared intelligence with Iran against Iraq (failed reactor bombing) and outright sold weapons to Iran to support them against Iraq.
There was a naive belief in Israel that the daily "Death to Israel" chants are just rhetoric like in the arab countries it used to deal with, and Iran can be a quiet ally like before 1979
At the same time Iran fought Israel through their mercenaries in Lebanon up to the point where all of Iran's resources were consumed by the failed attempt to encircle Israel, which has collapsed completely in the last two years