In Israel, Meir Kahane was probably at the peak of his potential influence in the early 1990s, which was right about when he was assassinated in OTL.
At one of his last public appearances, he said that his political party was likely to get ten seats in the upcoming Knesset election.
PODs...
In the 1990s, an intact and mean USSR is very actively giving support to anti-Israel terrorists and the US leader is at best tepid on Cold War confrontation and downright snarky on US-Israel relations. (For example, when terrorists rake an Israeli mall with assault rifles, the president whines about Israelis "lounging in shopping malls" when "acute issues of Palestinian sovereignty are profoundly at stake.")
In the early to mid 1980s, a non-assassinated Anwar Sadat prevails on the Israelis and Jordanians to openly resolve their issues and the West Bank is passed into Jordanian custody. With further chat, Israel and Egypt agree to make the Gaza Strip a semi-autonomous zone with combined UN, Egyptian and Israeli overview with a fledgling local council.
In the late 1980s, a Soviet-supported militant group assassinates the leadership of Jordan and voila nasty nasty pro-terrorist regime is installed.
(To be continued, but you can imagine...)