Impact of New Amsterdam on Britain's American Colonies

[The Kiat]

What would the impact of New Amsterdam staying Dutch (I'm not asking if it's possible, only opinions on its possible impact) on the American colonies. Would the Eleven Colonies be able to think like one, or would the geographical gap between New England and the rest divide it into the three mind-sets of New England, Pennsylvania and the South? And if, by some chance, the troubles of the 1770s come, would it be isolated in New England because of the alternate borders.

Furthermore, what would the future of North America look like in such a scenario. Would it be a British dominion, or a Spanish one? What would the Dutch do? Would they spread westward into the Ohio Valley? And, what of the Indian nations?