No, this is untrue for, at the absolute minimum, 3 million of the ~10 million Jews living in Israel. Between 1948 and today, more than 3 million Jews have made Aliyah. And, of course, many of the Jews living in Israel today will be the descendants of those non-indigenous Jews.
I'm not going to entertain claims of indigeneity from 2000 years ago, and those claims, at the very least, would be infinitely weaker than the claims of the Palestinian population who were violently displaced in 1948 and continue to be even today. So no, probably around half of the Jews living in Israel today are not indigenous at all and have not lived there fro 33 centuries. They're European colonisers, many of them white, who have lived there for a few decades, tops.
The conflation of "whiteness" and Zionism is simplistic at best. But it's not totally groundless.
I don't think many people call Israelis Zionazis. And very few, if any, serious people. I completely condemn those who do, of course. But I'd be remiss if I didn't point out that part of the reason Zionism is so often conflated with Israelis, and even Jews generally, is that many Zionists and Israelis absolutely insist on using the conflation as cover for their bigotry and atrocities..
If you (not you personally, the royal "you") tell people over and over again, that Israel and its atrocities are synonymous with Jews, and that criticising one is the same as criticising the other, some people will be stupid enough to believe you. But it won't make them stop criticising Israel, it will make them start unjustly criticising Jews.
But for what it's worth, my personal theory on why people use terms like "Zionazi," as hurtful as I understand they must be to many Jews, is that they're so very shocked that a people who were treated so brutally by the Nazis could treat another people so brutally just a few years later. There are all kinds of arguments that can be made about trauma and the existential fear Jews must have felt after the Holocaust. I'm sympathetic to those arguments in a philosophical sense. But it's still so disheartening to see how bad we humans are at truly learning the moral lessons of the past. It's why I'm not surprised to see certain black race-meddlers compared the the KKK either.
Jews using dehumanising language to advocate ethnic cleansing, black people who proudly spew racism against white people, women who try their hands at misandry and misogyny, call it unfair, but in all of these cases, I expect better from these groups precisely because they know how the other side of it feels.