This study offers a new model (a five by four matrix) to analyze an imaginary left-right division Israel. By analyzing the historical evolution of the Zionist ideology to four core issues (territory, religion, economy, and the attitude towards non-Jews), the main findings are that there is no real difference between them in any of the issues. In practice, they also behaved similarly, almost identically, in each of these issues. The main conclusion of the article is that in Israel there exists an imaginary rift between the right and the left that serves political parties and produces a social rift.