David Remez (1886-1951) was a prominent member of the generation of giants who forced Jewish history onto a new track. Arriving in Ottoman Israel in 1913 with his wife, they were among the last members of the Second Aliya, the founding fathers of modern Israel. The comparison with the Mayflower generation is plausible, for all the different historical contexts. The near-maniacal determination to create a new world was probably similar.
In the mid 1920s he had an affair with a young divorcee, one Golda Meir, though this may not have been common knowledge until their letters were published a few years ago. In the public realm he held a series of important positions in the pre-state Yishuv, and he was one of the signers of Israel's Declaration of Independence. He was a member of the first government, and at the time of his death in 1951 he was Minister of Education.
Aharon Remez (1919-1994) was a prominent member of the first generation of Sabras. Not the first Jews born in Erez Israel, of course, since Jews were being born here all along, but the first generation of children born into the growing Zionist enterprise. He was a prominent member of the group that created and commanded the Hagana and prepared it to become the IDF and to win the War of Independence - men such as Moshe Dayan, Yigal Alon, Yitzhak Rabin, Ariel Sharon, and Shimon Peres, (alone of them all, still active in his late 80s.) Remez was one of the founders of the Israel Airforce, and its second commander. After his father's death he was elected to the Knesset, but was more of a doer than a politician, and filled various prominent positions until the 1980s.
His son Gideon Remez may well still be alive, at least I haven't heard otherwise. Gideon was a journalist, and for many years he was the top "world politics" expert at the IBA, Israel Broadcasting Authority. For many years he ran a mid-afternoon radio program about the events of the world, which was famous for his connections. Whatever the event was, Remez would have a live interview with some knowledgeable local; it was always a pleasure to listen to his program, though you'll note that by this generation the family was reporting, not being reported on.
Didi Remez, so far as I can tell, is the current public figure in the family. I assume Didi derives from David, but see how far the family has come in four generations. Didi may define himself as an Israeli patriot, but if so he has a very unusual way of demonstrating it, by being very active in the narrow corner of the radical left that not only focuses incessantly on what Israel does wrong, but does so in English, so the rest of the world will know. That's what his website, Coteret, is all about.
I'm telling this tale not so as to attack Didi Remez personally. The man is entitled to whatever opinions he wishes to hold. It's an interesting story for its broader implication: that the segment of society which invented this country has faded, and new segments have risen to take their place; also, for the question as to whether the fading in any way fuels the animosity, as in "the new guys have betrayed what our guys were trying to do".