Answer:
I guess you would see what the people who got food poisoning ate.
Europeans used many advanced tools like swords guns explosives and were probably more skilled in swordsmanship.
While they Native Americans used natural tools like animal bones and stuff to shape spears also bow and arrows so their technology had no match for the Europeans.
For cultural I feel like the NA's were more down to Earth and wanted peace while of course the Europeans wanted war because they wanted their way.
A capital crime usually involves sever bodily harm, like murder. Infamous would equate more to scandalous.
Well the short answer is, unlike the christians who would force conversions, the muslims were very tolerant of other conquered peoples and allowed them to continue practicing their beliefs as long as they paid a tax