The religious history of America diverged from that of Britain with Methodism--Wesleyans who set up their own bishops rather than remaining Anglican as the Wesley brothers did--and more so with the various Baptist revivals.
Sola scriptura protestantism need not become anti-scientific, but it must either become anti-scientific or secularized, not in the sense of embracing the world, but in the sense of allowing religion to be walled off from the world into a purely private domain.
Of course, there are American particularisms about the things you value in the American experiance. One is evident on FR: American conservatism, unlike continental conservatism or even Burkian conservatism, seeks to conserve the heritage of Western civilization up to and including the Anglo-Scottish phase of the 'Enlightenment' while resisting the continental 'Enlightenment' and all its radicalisms. Properly speaking, the word 'liberal' has been stolen from us by the American socialists. (Personally, I want it back.)
I have often said the same thing! They can have the term 'Whig' back in its place!
Thanks btw for another illuminating posting; much appreciated. Can you recommend historians on these subjects? I feel the need for some homework... :-)