Very few cultures are really "natives" of the area they live in. The Turkish came out of Asia and took over from the Greeks in Anatolia, but it's not as if the Greeks were "native" either, and were predated by the Assyrians, and the Hittites before that, It's actually quite hard to really define "native" beyond "the people who were living there when we got there".
History is full of migration, conquest, and everything in-between. I always find it a bit odd when people go on about "the Islamic conquest" when your own "native" culture's history is probably not that dissimilar in broad lines.
It also gets more complicated when considering that many "conquests" actually end up being cultural rather than genetic. So it might still be the same "people". And plenty of migration and mixtures as well further complicate matters.
History is full of migration, conquest, and everything in-between. I always find it a bit odd when people go on about "the Islamic conquest" when your own "native" culture's history is probably not that dissimilar in broad lines.