Philosophers trained to be biased of the perjorative "divide" between the two traditions is rather a source of irony historically. It is analytic philosophy that actively maintains there is something like continental philosophy. For, if someone tells me that I do continental philosophy and labels me a French poststructuralist, I will tell them that I find it insulting and that there is nothing in my love for Husserl or Heidegger that stands in common with such ignorant grouping (accepting certain interpretive commitments of Heidegger). A phenomenologist has nothing in common with a poststructuralist anymore than a poststructuralist has in common with a phenomenologist; pigeon-holing them does little to understand them. If someone is trained in analytic philosophy and is never taught anything about the Continental tradition, all the label "Continental philosophy" achieves is a mass grouping to recognize one's ignorance. There is no substantial work honestly demonstrated by grouping everything European in a geographical label, yet we've grown to accept in terms of an Anglo-American dominated world.
People will notice that I still use the term only because of its common nature. I find it a useful way of saying that, unlike Quine, I think that philosophy is more than just an extension of the natural sciences. Continental philosophy casts a wider net than a Quinean conception of philosophy allows. I find philosophy the intellectual engagement with human existence that liberates us from the drudgery afforded by an unexamined life. In this way, philosophy -- like literature or art -- uplifts and uproots our everyday absorption in a Western culture that often propagates injustices only because a large part of our human life goes without being subjected to inquiry. Thus, inquiry is an organic and creative expression of human freedom that Russell noted very aptly:
Philosophy has value not because it is likely to provide definitive answers to the questions it asks, but rather because the questions are profound and important ones. Philosophical contemplation removes us from our narrow everyday concerns and takes us into a realm of generality which can put our lives into new perspectives. (Bertrand Russell, Problems of Philosophy)
Seeing authors in terms of the analytic tradition wrongly suggests that the history of philosophy is nothing more than the history of intellectual puzzles. The richness of philosophy from Tyler Burge to Gadamer, instead, reveal a richness in range beyond thinking of analytic philosophy as solving problems only.