The Israeli system is designed to be both independent of the political leadership, and to provide ideological consistency. It works very well. Since the judges play a large role in picking new judges, and the bar (Israeli lawyers) play a significant part, the judiciary reflects the upper class, and preserves the ideological perspectives of those who set up the judiciary in the 1950s. The Israeli Supreme Court does an excellent job of preserving the power of the secular, Ashkenazi, upper class “elites”, at the expense of those whom Israel regards as undesirable such as the Sefardim and the religious. From their perspective, the anti-religious, and anti-democratic nature of the Israeli judiciary is a “feature” and not a “bug.” A system such as the United States where judges are appointed by political leaders (or elected) wouldn’t work in Israel since you would be getting too many frum and Sefardi judges. In many ways the Israeli system resembles Britain, except that in Britain any judicial decision can be reversed by an act of parliament.
Obviously if Israel has a revolution and a Jewish state is established, the first thing to get rid of would be the secular judiciary.