Abrahamic societies will naturally be sympathetic to the acts of other Abrahamic peoples and antagonistic to pagan and polytheistic cultures, especially if the non-Abrahamic culture rejects the Abrahamic proselytising that purports to "civilise the heathens" as many Indic societies did. To expect anything else under some expectation of fairness or empathy is nothing but childish naïveté.
Western Christian public culture is anything but sympathetic towards the acts of Western Christian colonisers. There is sympathy towards other cultures, Abrahamic or otherwise but towards its own there is mostly atonement of sins and self-chastisement, at least outwardly.
The ignorance of Western people to think "Abrahamic bad", "Eastern good" is very aggravating. Modern times have given us plenty of violent Bhuddist and Hindu extremism right before our eyes, for example. And it isn't the first time in history for either of those either. No religion ends up being special, because, unfortunately, humans are fundamentally misbegotten.
Not to mention the ignorance in this thread of the basic fact that Muslim empires kept attacking and supplanting each other in South Asia, culminating in the Mughal defeat of another Muslim empire, which is exactly what this article describes. But instead of actually reading it, you'd rather bring naked biases and caricatures to the table.
Islam and Christianity are Abrahamic religions. But some societies are both very Christian and very anti-Islam, or vice-versa.