You have to go back to the beginnings of American Evangelicalism to see how this has been rooted in their beliefs from the start. Its not a recent phenomenon its just that people finally see the world beyond the propaganda. American Evangelicalism is rooted directly in Puritanism.
There are a lot of issues here. Evangelicalism as a whole is more derived from the Great Awakening in particular than Puritanism in general. Moreover it's undergone a lot of developments even since then. Puritanism was in many ways a leftish movement for its time after all.
US History has been heavily written by the people who have descended from that Puritanism
Nope. You're drawing that out of nowhere. Puritans are overly focused upon in the historiography until around 1970 though. The reasons for this probably have more to do with a sentimental attachment to ideological migration over economic migration, i.e. Virginia and most of the middle colonies. This was in addition to the fact that people were trying to find an ideal type America and they didn't want to find it in the slave holding south.
The entire notion of leaving Europe for religious freedom and escaping persecution is bullshit revisionist white washing of history.
Well some people did this. Acting like everyone did is a problem of overemphasis, not bullshit revisionism, which by the way is the norm for historians.
The Puritans were assholes who wanted everyone to conform to their viewpoint on Christianity.
Everyone wanted everyone else to conform to their viewpoint on Christianity at the time, yet some sects moved past it.
When the Church of England was formed many aspects of Catholicism were kept in tact as far as religious rights and customs etc. The Puritans were not pleased with that and demanded a complete purge of all things Catholicism.
This is far too simplistic. The Elizabethan Church settlement was only ever a stop gap. There was going to be a conflict, and the king lost his head over it. Besides the more Catholic parts of the church were kept specifically so the Monarchy could exercise more secular and religious power since bishops votes in the Lords. The Puritans were actually leftish on this front.
Eventually people got fed up with their insistent denigration of everything the puritans deemed evil.
People were fed up with the Puritans because of how the last years of the commonwealth played out. If Cromwell had survived a few more years I don't think they would have ever been pushed out. You'd end up with the same situation as in Scotland, most people just get burnt out on intense Calvinism after awhile.
So the Puritans decided if they could not force England to change they would get on a boat and make a New World for their intolerance.
This is too simplistic. Laud was harnessing them, though probably not really oppressing them. He did want, at least until 1635, to push them out. But the reason this was happening was again to increase the power of the court. You're painting Charles I as a good guy here, that doesn't pan out well historically.
They arrived in America and immediately enacted their policies of our way or go off and die in the wilderness.
They expected the same type of social cohesion that England was obsessed with yes. The awkwardness of Puritanism is that in many ways they are the first radically modern people. They wanted the social cohesion of the past, but failed to see how their ideology would never produce that for more than a generation or two.
But for that generation or two New England was actually quite a nice place for the Puritans. You're reading backwards some very negative opinions on Puritans.
Their bigotry and intolerance eventually reached a boiling point to where the British Government who had given them the colonization charter had to step in and enforce British rule including the right to practice other religions.
You mean English government, and why do you think James did that? Hint it's the same reason that Laud was given a freehand. The state manipulated religion for its own ends. this isn't bad guys versus good guys. It's simply two different views of religion and the English, later British, state.
So in the end American Evangelicalism is well entrenched in the practice of claiming to be victims
I actually agree with your thesis more or less, you just went about arguing for it in the wrong way.
What was important about the Puritans for modern Evangelicals in America is the idea of the journey into the Wilderness and massive amounts of millenarian sentiments. The root of the narrative of oppression probably lies in the millenarianism.