It didn't, but the funny thing is that Columbus didn't even set foot in North America. He just went around the Caribbean and had little to do with English colonists wanting to move to what is now Northeast USA and starting what is now the USA, more than a hundred years later.
Personally I find him to be an interesting character, he was a skillful navigator, convinced the Spanish to fund his expedition, managed to find land. He was, according to his enemies, a brutal ruler, of both natives and European settlers, but the Spanish monarchs pardoned him and he went for one last trip.
He wasn't particularly brutal for the standards of the era, look at what happened to people who opposed European rulers at Europe or Natives who opposed the Aztecs.
In the big picture, his main contribution was to encourage more Europeans to explore the Americas, otherwise, maybe, we would have the Ottomans settling here. More likely the Spaniards would move there anyhow. The fate of the natives would be pretty much the same, except they would be muslim.