Their solution was that Bultmann et al had killed God by destroying the faith in Holy Scripture as the Word of God. The historical Jesus was almost stripped of all characteristics attributed to him in the Gospels. Bultmann left Jesus partially in the realm of history and partially enshrouded in myth. What is dead is buried. It was not one thing, but many things.
Postmodernism is something new created in the present and something old borrowed from the past.
Postmodernism is part and parcel of the old modernism plus a hundred years of accumulated baggage. An apt analogy is comparing the generational passage of theology to the evolution of the old Model T Ford, a new Chevrolet, and a postmodern Cadillac. The current update of postmodern theology in its most radical form ends up eventually on the doorsteps of the Westmar Institute and the Jesus Seminar. And this becomes a nightmare for the avant-garde Bible scholars in our schools. They do not want this poisonous theological label attached to their names.