Well, there's a difference between settler colonialism (which replaces the indigenous population) and the sort of imperialist and classic colonialism in a lot of parts of this map, where people move in and resources are extracted, but you're left with a traumatized population instead of a genocided one, like in North and South America as well as Australia, so we'd expect the results to probably be different.

Not that I think religion helps these matters, as the US which is slowly turning Christo-fascist and reversing LGBTQ rights, probably not coincidentally, shows. I just don't agree with the Islamophobia part. Christianity looks pretty draconian on these issues too in some parts of Africa.