That's fascinating , Englishman. I've never heard this historical tale before.
However, the Puritans were merely ONE small group which fled to the Americas. I hardly think that this one radical group is responsible for the majority's way of thinking. The Puritans, as HORRIBLE as they were (yes, they were an evil bunch), may have been amongst the first religious groups to settle North America, but they were hardly the 'founders'. Many Christian denominations founded numerous states in the US. My state, Maryland, was founded by Catholic refugees. Pennsylvania was founded by another, and so on. Most of the original colonists were fleeing Europe to pursue religious freedom which was denied to them (or they were dumped here from British prisons, which is another story), so that's most likely why US citizens hold a higher deity-based belief system than Europeans.
One more edit: Religion in Europe during this time seemed to be all about politics and oppression, so why would the average, complacent citizen take it to heart? Christianity wouldn't exactly be a welcome ideology. So, regardless of sect, any denomination that came to North America would take religion much more personally.