Some will leave either temporarily or permanently but many Ashkenazi Jews will remain as they are too invested in the land. They have houses, jobs and family there now. They will only leave when conditions for them become inhospitable or are forced to leave by a Muslim army.
I would argue the opposite. The American-Jewish community is by far the most radical Jewish group on the planet and extremely far right/pro war when it comes to Israel. In their private personal lives they're liberal/secular but extreme in other facets.
So the oriental Jews want to bring in Jewish law out right, as well as temple mount, I am paraphrasing Alistair here
Not secular laws
Whilst the European origin ones are indeed as zealous as anyone they have tend to stick to secular frameworks and thinking
I suppose I can imagine a scenario where the European Jews might decide Israel is unliveable if it gets toooo Jewish halakha law direction
For example it's very anti LGBT
Also the European Jews are far more economically productive than the rest, there is a feeling they are feeding everyone
Maybe their own overreach will cause the split
Just an idea, who knows