I’m referring more to the behaviour of the Israelis mirroring the behaviour of the colonists. Deliberately pushing out the natives, leading to the natives fighting back, leading to the colonists using overwhelming force in ‘self defence’, leading to more colonists pushing out the natives.

Take the settlements in the West Bank for example. The settlers show up, build their houses, kick out the local Palestinians and treat them like shit. The Palestinians retaliate, so the settlers call in the IDF to kill the Palestinians. The US colonists did the exact same thing, and even went to war with Britain (at least partially) because Britain demanded that they not push west of the Appalachians because it was (to the British), native territory. Granted Spain had also stolen a load of land to the west, effectively sandwiching the natives between two colonial powers, but Britain had just got out of the Seven Years War (instigated by the colonists) and wasn’t keen to get back into one.