I believe they used the phrase "Manifest Destiny." In other words, they believed that it was their destiny to have the land and to build upon it.
The damage outweighed the benefits to the American people because it meant they got to "have more." In other words, more money.
The government could have made an agreement with the natives and possibly allowed them to continue living on the land, perhaps, that would have caused less wars or battles in the end.
William Bradford basically describes the natives as unfriendly and hostile. He describes them as unfriendly and hostile because when the colonists arrived at the shores, instead of being welcomed with friendly smiles, they were welcomed with deadly arrows.
It was George Washington who led the Continental Army in the final decisive battle of the Revolutionary War at Yorktown. Washington would then go on to be the first president of the US.
