Considerably unlike the US -- but also considerably unlike the rest of the UK.
I'd believe that. Six miles in London will get you more or less anywhere you want to be; in Banbury, Oxon, it won't even get you to the county offices. And if you're the sort of person who doesn't like the city life (i.e. you want to live in the suburbs, as much of the population seems to), but need to work where the jobs are, you'll need to commute.
A long way.
Possibly, but for much of the world, "making cycling less unattractive" would require major investments in infrastructure and even in weather control. London's actually a very nice place for cycling; the weather never gets that bad (summers are typically 25 or below, and it rarely drops below freezing in the winter). There is, of course, the everpresent rain, but you can deal with that with a light coat or an anorak or something.
Compare that with the 30cm or more of snow that even Washington DC gets on a regular basis (and DC is considered a "southern" town, and has the 35 degree summers to prove it). Further south, you can't cycle in the summer because you will die of heat stroke -- in many cases literally. Further north,... well, let's just say that its hard to pedal when you're buried up to your axles in snow.
For the major cities, there's usually a very expensive and underbuilt public transportation system. I don't need to tell a Londoner about how bad the Tube doesn't work --- but the London Tube is among the best in the world. Any city in the States would envy the Tube system,.... but where would the money come from to build it? (Even London couldn't afford it if it had to start from scratch.)
I've found some distributions for the US:
http://www.bts.gov/publications/omnistats/volume_03_issue_04/html/figure_02.html
This is 2003 data.
In good weather, and given appropriate (relatively cheap) infrastructure, a significant proportion of those journeys could easily be made by bicycle.
I am aware that the UK is more temperate than the continental US, or even the coasts, and people will still find cars convenient. I use one - just not to get to work.
For reference, my temperature range this last 12-months has been from -12°C to +31°C, and I'd accept that these are probably more than comfortable for many people, but then you also have to factor in the UK's inability to deal with 6" of snow (or 2-cm), which actually makes cycling about the quickest, and certainly the most reliable form of transport in snow in the UK. (25-miles 1100ft round trip in snow does take some effort though). I live in the Peak District and work in Manchester, for pretty much the reasons you outlined earlier. I cycle for purely selfish reasons, and regard my commute as time I'd otherwise wish to spend doing other forms of exercise, and which I don't have time to do.
