That lends too much legitimacy to Israel imo, American indigenous peoples have a much better justification for blowing up settlers' houses if they want to.

I'm USian and I have Irish ancestry. I think that can be used much more fittingly as an analogy - all my ancestors up through my great grandparents were born in the US, but I am ethnically Irish and (for the purposes of this argument) Irish Catholic in religion; Ireland is a place where Irish history, architecture, and coinage(??) can be found all over the land. Despite having lived in the US my whole life, does this mean I have the right to call myself Irish, fly to Ireland, and kill a Protestant to take their house because it's my "native homeland"?

It points to two parts of their argument that are open to your critique - the validity of their claims to ancient heritage and the validity of using that ancient heritage as justification for any kind of violence in the modern world.