@Archie the Preacher I think I see the point of your questions.
Almost, but not quite.
To blame Christianity in any way, shape or form in what happened between the prior 'owners' of North American and the Government of the United States is misleading at best and outright fraud at worst. The indictment of Christianity stems from an atheistic oriented slander claiming so.
The dispute - erupting into warfare - between the prior owners and the U. S. Government arose from a series of misconceptions and misunderstandings on both sides.
For instance, the aboriginals didn't understand the goal of the (mostly at that time) European settlers. The 'whites' wanted to settle, establish farms, homes, cities and factories in permanent locations. The locals didn't understand that at all.
At the same time, the aboriginals lived a predominately nomadic lifestyle in the Great Plains areas. There were relatively few of them and they moved from place to place constantly living as 'hunter-gatherers'. The 'whites' didn't get that concept at more than a historic and superficial level. Yes, there were some aboriginals in the North East who lived in more or less permanent cities - more or less - and some in the South West who had 'pueblos' (a Spanish term, not indigenous language, by the way) but they were the minority. And it's noteworthy most of those groups were not particularly warring with the U. S.
Numerous 'treaties' were made. Unfortunately, the U. S. Government - at least those officials dealing with the 'treaties' were ignorant of the fact not even a single 'tribe' had a spokesman who represented them all. Even less, tribe 'A' didn't even pretend to speak for tribe 'B'.
There are more factors in this; I've just skimmed the surface of the history.
How many people died in the resolution? The total varies on who did the counting and what soapbox they climb. However, historical information shows the indigenous peoples killed about three times as many 'whites' as 'whites' killed 'reds'. So the 'genocide' claims are rather embellished.
The story about the intentional introduction of smallpox infected blankets? There is no evidence, only allegations of the fact. The accusations arose first prior to the onset of the American Revolution and is unsubstantiated at best. Even if true, the accusations were against an officer in the English Army and no one in the U. S. Government (which didn't exist yet.) Certainly the accusations do not include any type or remotely involved Christian entity.
Still, these are the days of 'victimhood' and 'vicarious guilt'. So on the one hand, there are those who pretend to being victims for something that happened nearly two-hundred fifty years ago and those who, having no other purpose in life it seems feel 'guilt' for something that happened nearly two-hundred fifty years ago. Neither of whom were involved at all in the original event.