As far as I know, the BBC News site for us yanks is identical to the version served to you in the UK. I don't believe bbc.co.uk uses geolocation content filtering or modification. bbc.com and bbc.co.uk appear to be resolving to the same address as well.
bbc.co.uk does have "Battles in Tunis as key aide held" as its top story as I write this, so it is not like Americans are blocked from seeking out information using the same sources as the rest of the world.