In a healthy democracy, someone with a daughter making claims of long-term sexual abuse by her mother and family, and a son that was convicted of kidnapping and torturing a Palestinian boy (leaving him naked and beaten in a field) has no possibility of a continued political career. If there are no better alternative politicians from your political party to fill your role, then that is an indictment of your entire party.

But she is a proud ultrareligious racist fanatic and so is her party, and so all of this is no problem for them. Nor apparently a large amount of the voters - her party has 7 seats in the current Knesset. Which is more seats that Israel's only firmly left-wing party 'Hadash–Ta'al', which holds 5.