The Calvinist Puritans were tossed out of England after Cromwell’s murderous dictatorship outlawed art, music, theater, anything fun. In US history, by contrast, they have been romanticized as the inventors of the Thanksgiving turkey.
Actually, you've got your timeline backwards.
The major Puritan migration to New England took place from 1620 to 1640, well before the English Civil War or Cromwell's rise to power. There was remarkably little immigration into New England after 1640. Most later immigrants went elsewhere.
If we're going to make snarky remarks about the Puritans, and they admittedly are an easy and legitimate target, we should also recognize they bear the major responsibility for the fact that England did not descend into the absolutism of all continental countries.
They kept political and religious freedom from dying out of the world. Even when that was not their intent.
Our political system is descended from that saved by the Puritans during the English Civil War, not the absolutism of the continent or the reactions against it embodied in the French and Russian revolutions.
“The Calvinist Puritans were tossed out of England after Cromwell’s murderous dictatorship outlawed art, music, theater, anything fun.” —> they sound like the Taliban. Oh, wait, Cromwell’s crew also destroyed Cathedrals and cut off the eyes of Christ and saints in Churches, didn’t they?