Kahlon faced criticism for the move from Blue and White, which sent 40 protesters to his home in Haifa.
PM plans to promote immunity law for elected officials, opposition MKs call Knesset meeting to speak out against it.
Netanyahu is interested in a merger between his Likud and Kahlon’s Kulanu parties.
Kahlon said Kulanu helped young families by subsidizing a longer school day, nursery school education and special saving funds for each child.
“Gesher is getting stronger, so they’re spreading lies against us,” Gesher’s Facebook page said in a post responding to the incidents. “Our answer in the ballot box will be overwhelming.”
The Kulanu party has been hovering on the threshold in numerous polls over the last month.
Gesher leader Orly Levy-Abecassis even had to fight a fake Facebook post in her name saying she dropped out of the race.
The public is "fed up" of repetitive arguments, while "5,000 people die every year in hospitals from infections and that interests no one,” Levy-Abekasis said.