Fortunately the Mayflower wasn't the only ship in the world

"A more homogenous stock cannot be seen, I think, in any so extensive a region, at any time, since that when the ark of Noah discharged its passengers on Mount Ararat, except in the few centuries elapsing before the confusion of Babel."

James Savage, et al. A Genealogical Dictionary of the First Settlers of New England (1860).

Silly Puritans, valuing this sort of thing.