My local cable provider doesn't include the BBC. But I have seen the BBC morning show aired live on C-SPAN late at night after a major world event. For example, at 1 or 2 am on Sept 12, 2001, C-SPAN played a live feed of the BBC, which included some chinese chick who would read the headlines, and I found it mildly amusing how she would say "President Boosh".
By the way, C-SPAN is a government channel with no commercials. They also have C-SPAN 2. They mostly play press conferences and live feeds of the Senate and House of Reps.
I would be interested in watching the BBC if I could, if just out of curiousity. But I would want to see the real BBC with british accents and all, not some americanized version.