Ok, even if we accept that interpretation, lets say men were being actively murdered for being men in the name of 'kill the Patriarchy'. That women had invaded places where men were, shouting 'kill the men'. One even rang her mum from the murder scene gleefully telling her how many men she had killed today.
A normal person would not take to the streets soon after chanting 'kill the patriarchy'.
The IDF is not an abstract institution like the patriarchy (regardless of how real patriarchal cobtrol still is). It is an army made up of normal men and women, some of whom are arab, and who keep all Israelis, of all religions and ethnicities safe.
For a country to have an army is normal.
The level of threat against Israel is not particularly normal though. If the IDF did not exist Israel would not exist and a very large proportion of the world's tiny Jewish population would be murdered.
To shout death to the IDF means death to Israel. Death to Israel means death to the Jews. There is no other interpretation.