I think the James Webb will do to the Big Bang Theory, what CERN did to string theory and supersymmetry.
They will find the background radiation to be the light of ever further sources, shifted off the visible spectrum, in an infinite universe.
The implications to society, I can only imagine, given how deeply this theory has penetrated and how primordial the origin stories are.
Here is an essay I wrote;
https://johnbrodixmerrymanjr.medium.com/the-confessions-of-a-cosmic-heretic-5cd4c044b8ea
Here is another interesting article, by one of the engineers on the Hubble, about dealing with the cosmologists;
https://www.americanscientist.org/article/modern-cosmology-science-or-folktale