"This is a testing time for all Israeli citizens, right and left," said Smotrich. "We must rise above politics, above suspicion and apprehension."
According to the new proposal, the Judicial Appointments Committee will include 11 members instead of the current nine, while six out of the eleven will come from coalition parties.
The changes proposed by Rothman to the bill were met with criticism from both coalition and opposition MKS.
Rothman introduces drastic Judicial Selection Committee changes.
The coalition deemed the president's proposal "one-sided, biased and unacceptable" soon after it was presented on Wednesday night.
The power struggle between the Likud's pro-compromise camp and the hardliners who are toeing Levin's line may decide the fate of the judicial reforms.
President Isaach Herzog introduced an outline for the judicial reform in a statement on Wednesday.
Critics contend that the current reform formulation would create an automatic coalition majority.
Politicians and activists are increasingly coming to accept the notion of compromise on many issues.
Kohelet said that consensus was important and that it had engaged with experts with opposing opinions in order to find such compromises.