Channel 14 members implied something was wrong with a male and female soldier alone at night and that "crazy leftist agendas" were to blame for the deaths.
The clash between local authority leaders and government officials over what is known as the "Arnona Fund," which had been simmering for weeks, erupted on Sunday.
Lapid said that if indeed the legislation would come to a "real and complete" stop, he was prepared to enter dialogue at the president's residence.
Several members of Knesset were absent from the vote, including Mansour Abbas (Ra'am), David Amsalem (Likud) and David Bitan (Likud).
The coalition is expected to vote against the bill requiring domestic abusers to wear tracking devices, with Ben-Gvir saying it needs to be "more balanced."
The fake outline was published the day after Herzog had called an emergency meeting of local government officials about lobbying for judicial reform negotiation.
"I want to give you [ministers] a fist to strike at them [protestors against judicial reform]," Prime Minister Benjamin Netanyahu said in the cabinet meeting
With some goodwill, there is still time and space for compromise before the judicial reform bills pass their second and third readings.
The first reading of the judicial reform passed its vote in the Knesset on Monday night.
The former minister demanded that the law be applied equally to incitement from both sides, and called on the commissioner to order the opening of an investigation in several cases.