I'm not that well versed in analytic philosophy - I think it's come a long way since the early days, so now straddles both sides of the rationalist/empiricist divide. At this point, I think it's basically a writing style. You get a lot of analytic philosophers with some pretty wild assertions about reality.
On the other side, somebody like Deleuze is basically a hardcore empiricist, but he's as 'continental' as they come.