According to this youtube source, the Islamic conquest of India was far more brutal than other Islamic invasions due to the victims being conquered were not "People of the Book" i.e. Christians and Jews.
In this site's review I quote:
Thus, the conquest of Afghanistan in the year 1000 was followed by the annihilation of the Hindu population; the region is still called the Hindu Kush, i.e. Hindu slaughter. The Bahmani sultans (1347-1480) in central India made it a rule to kill 100,000 captives in a single day, and many more on other occasions.
Furthermore according to another site:
Hindus found it very hard to understand the psychology of this new invader. For the first time in their history, Hindus were witnessing a scene which was described by Kanhadade Prabandha (1456 AD) in the following words:
"The conquering army burnt villages, devastated the land, plundered people's wealth, took Brahmins and children and women of all classes captive, flogged with thongs of raw hide, carried a moving prison with it, and converted the prisoners into obsequious Turks."
How true are all these claims and what truly happened in the Islamic conquests of India?
The youtube channel you've linked to is a propaganda channel and probably not the best source for a scholarly perspective, as it is interested in bolstering claims common to current Hindu nationalist politics. This isn't directly about the idea of Islamic conquest, but you can see how the two bleed into one another in a way that makes this question difficult to address here.
There have been Muslims in India since the earliest days of Islam, due to frequent trade with the Arabian peninsula. You can learn more about trading patterns and things like how interactions between India and the Gulf in George Saliba's book Islamic Science and the Making of the European Renaissance.
I can't speak to the violence of specific conquests compared to one another. If you want to know about how Muslim governance operated in South Asia, you can find examples of important primary documents at this site: http://sourcebooks.fordham.edu/halsall/india/indiasbook.asp
And this is a compilation of primary and secondary resources on the history of Islam in South Asia that could get you started: http://www.columbia.edu/itc/mealac/pritchett/00islamlinks/index.html