The other Euros of their time all considered themselves colonists of somewhere else locked in a clash of civilizations with the natives.
This has something to do with the various mindsets at the time. A convincing argument was made by a professor I had (and her book) which went in to the various goals and worldviews in the New World.
The Catholic countries tended to juxtipose a kind of crucade mentality on to the entire thing - you went in, toppled the native leaders, then converted the masses to Christianity. The biggest example of this was the Spanish. There was not really a genocide campaign per se by the Spanish, but a kind of subjjigation of them.
The French, being considerably further north, didn't find much of a government to topple. They largely converted the natives when they found them and then happily went about killing everything in sight for its pelts and trading them away. They weren't as destructive to the natives per se, but it is roughly comparaible to how the American settlers went in and killed all the buffalo without so much as a second thought about what it would do to the natives.
The Protestants, represented mostly by the English, in this view, came with a siege mentality they learned from being more urbanized and largely outnumbered by Catholics in Europe for most of their history. When they came it they didn't see it as something of a crusade, but a kind of us v. them mentality.
There are some problems with this view, as interesting as I always found it. The Dutch, for instance, were protestants in North America that - as far as I know - were pretty comparable to the French in their treatment of the natives: exploitation of resources more than of the people. Further, I would suspect that in large part it had to do with the economies of each power as they entered the Americas. The Spanish were first and their brand of mercantalism demanded a degree of gold. The French were next, and not finding gold, they went for trading pelts. The English were last, and they were there largely as the result of cash crops.
But I'm no expert on the subject.
Alis Volat Propriis; Tiocfaidh ár lá; Proletarier Aller Länder, Vereinigt Euch!