Schleiermacher's theology is very close to process theology, so could process be a bridge between American and continental theologies?
This is a complex question. Let me first describe where I agree. Schleiermacher was certainly an important figure in German theology. He is often called the father of liberal theology. During the nineteenth century, along with Hegel and Kant, he was a major shaper of the tradition. His basic program was renewed by Rudolph Otto, and there are clear continuations in Paul Tillich. There are certainly today adherents of this tradition.