Yeah, I know, that's not how today's Christians tell the story. They say they had to flee to the New World because they were being "oppressed." They always say that when people refuse to buy into what ever nonsense they happen to be peddling at the time. I'm sure 16th century Europeans had plenty of more interesting and profitable things to do back then than waste their time harassing a few thousand nut-fringe Christians.
Whether fundamentalist ("Puritan") Christians were indeed oppressed or tossed out of Europe for cause, I suspect they brought it upon themselves. And, the minute they landed in the New World, they've been working overtime to wear their welcome out here as well.
(Moments in History: Did you know that the Puritans actually outlawed the celebration of Christmas for the first quarter century the spent in the New World? Yep. People started having too much fun, enjoying food, drink and engaging in general merriment. They put a stop to it. Meanwhile, back in Europe folks were finally amble to enjoy Christmas without having a people with big hats and small minds grousing about it.)