With the small difference that Europeans (Iberians to be more exact, the English/Dutch/French practiced ethnic cleansing) actually ruled over Amerindians and entered their society in the upper strata. Muslims, Africans, and Latinos aren't ruling over Westerners nowadays. In fact, they're entering Western society in the lower strata.
So these tactics are actually polar opposites. A lot easier to achieve "cultural genocide" when you come in as the governors, generals, merchants, farm/mine owners etc., than when you come in as dishwashers, nannies, landscapers.