I actually used to keep a list of those name transformations.
David Ben Gurion used to be David Joseph Gruen
Moshe Sharett was Shertok.
Ariel Sharon was Scheinerman
Golda Meir was a Meyer
Menahem Begin was Wolfovitch
Shimon Peres was Szymon Perski
It seems the only prime minister who didn't have a fake name was Rabin, so they killed him.