Liberalism is marked by comparison to abstract ideals. Whether and to what degree other areas of the world do worse in comparison to those ideals is not usually going to be something of paramount concern.

This idealisation and universalisation is not only Western of course. I'm a mixed kid like your kids, but South India rather than Bangladesh, and I would be and am rather unquestionably accepted as Indian when I am there. But a major driver in the split between India and (then-)Pakistan comes down to the (novel & idiosyncratic) liberal ideals we compare to.

As a final note re: the Crusades. I was not under the impression the Crusades were looked down upon because of war, but because they too often were incoherent raiding expéditions that sacked and subdued parts of Christendom even more than they won control of the Jerusalem.