It's good to get rid of those Sharonesque parties. The legacy of those parties (Kadimah and the "Movement") is the Expulsion and Sharon's break away from Likud. It's better to call them what they are rather than pretend to be Centrists which is really another word for Leftists.
Now it shows all the outright Left parties to have only have 38 seats (Labor, Meretz and Ein Atid). The Left can never form their own government without a religious party or some party that comes out of nowhere like Kahlon's party (In Smolmert's regime, the Pensioners played that role.). The only way the Left is ever a majority is when they rely on votes from the Arab parties in the opposition. If we got rid of the Arab parties, the Right Wing parties would be larger since the majority of Jews in Israel are Right Wing.
The Left is a mess. Who knows how many Labor Party chairmen there have been? Since Ehud Barak resigned from being Prime Minister, it seems like they change their leader every year. I can't even keep track of it. Previously all their chairmen have been PM at least once. With Likud, it's still true that all their Chairmen have been PM. Begin, Shamir, Sharon, and Netanyahu are their only party leaders.
Most Jews would be willing to vote for a real Right Wing party if given a chance. The demographics show that only parties claiming to be Right Wing can sustain large numbers since the fall of Oslo.