This is your error. States and peoples are not unitary entities with a single coherent outlook and will. The vast majority of the Israeli population is far too young to have directly experienced the Holocaust, which ended 80 years ago. There are plenty of people in Israel who do not want to commit atrocities against Palestinians. There are also people who feel that they have a (literally) god-given right to occupy the territories where Palestinians currently live. If you think of Benjamin Netanyahu's cabinet as being basically the same people who survived Nazi concentration camps in World War 2, then nothing Israel is doing in 2024 will make much sense.
To my mind, Israel's actions toward Palestinians (both in Gaza and the West Bank) are powerful evidence that nationalism inherently leads to atrocity no matter who's involved. If the cultural memory of being targeted by the Holocaust won't stop an ethno-state from setting up an apartheid regime, what will?
There's no question that the Holocaust has enormous salience to Israeli Jewish people. But if you trace your roots to rural Arab Jewish families from Yemen or Iraq, your more immediate concern would be your own family's immediate viability in a world without Israel. A new rise of European fascism wouldn't be your problem; the fact that you'd have literally no place to go would be. You're sure as shit not moving back to Yemen.
The problem is: it doesn't matter. The point is that Arab Jewish people are in Israel now, by the millions. The issue isn't that they've won some kind of trauma competition; it's the simple practical fact of their presence and the history that brought them there.
Your second point, about MENA "nations" expelling Jewish people "in a vacuum", is deeply concerning. No matter what Israel did in Palestine, Arab Jewish people had no culpability. Arguments like this are why the distinction between criticism of Israel and outright antisemitism are so slippery. I too think that distinction is weaponized, but it's hard to press the point when you're making facially antisemitic arguments.
Clearly it does matter to significant portions of the people who either directly experienced it or are the children of those who did. I would argue it was a major driving factor for violent opposition to the Israeli state, now since replaced by Israel's current actions (current as in last 30 years) as the impetus.
> No matter what Israel did in Palestine, Arab Jewish people had no culpability.
I'm glad this discussion has forced me to do some research. I actually wonder how many of the early immigrant waves were even "expelled" in the first place, rather than moving of their own volition. Here's the example from Yemen: https://en.wikipedia.org/wiki/Operation_Magic_Carpet_(Yemen)...
And in Iraq's case: https://en.wikipedia.org/wiki/Operation_Ezra_and_Nehemiah "Like most Arab League states, Iraq initially forbade the emigration of its Jews after the 1948 war on the grounds that allowing them to go to Israel would strengthen that state; however, by 1949 the Iraqi Zionist underground was smuggling Jews out of the country to Iran at about a rate of 1,000 a month, from where they were flown to Israel.[23] At the time, the British believed that the Zionist underground was agitating in Iraq in order to assist US fund-raising and to "offset the bad impression caused by the Jewish attitudes to Arab refugees".