Extremists in governments, both right and left, exist. Extreme extremists are generally outliers but in the case of the U.S., the democrat party at the federal level is mostly represented by extremists - IMHO.
I don't know enough about Israeli politics to make a similar claim. My sense is that their multi-party parliamentary system allows for greater moderate representation.
Ben Gurion was an outright communist. Begin was considered an extremist, but he was nothing of the sort. Livni, Barak and Olmert were somewhere left of center. Shamir was right of center, but not all that extreme, and neither is Bibi nor was Sharon. Ironically, the Left has won all the wars, and the Right has made all the concessions. Begin evacuated the Sinai. Sharon evacuated Gush Katif. But Shimon Peres approved construction of Kiryat Arba. Eshkol won the Six-Day War and Golda Meir won the Yom Kipur War. Ben Gvir is a right-wing extremist, but that’s why I voted for him;D
I don’t know enough of Israeli politics to make any sense of that, but it’s real. It’s like life through the looking glass. Nuts.