10000?! The UK, with a population of approximately 1/4 that of the USA and more liberal alcohol laws, had ~260 deaths from drink driving in 2013. Rampant might not be the right word, but something isn't right.
The US has far more sprawl where people live in suburbs which are a significant distance from the closest restaurant, bar, etc. and public transportation ranges from unreliable to non-existent even during the workday. In most of the country, that's also be paired with high speed limits and road designs which encourage driving at or above the speed limit which increases the likelihood of a crash being fatal.
The default mindset is so heavily dominated by the assumption that you'll drive that the building codes in most of the country require bars to have significant parking available for customers, even if the bar is in a heavily urban neighborhood and the owner would prefer to use the space for seating.
Fair point - so taking the proportion of road deaths related to drink as the measure instead (which should control for your points to a great recent), 31% of US deaths are drink related, compared to 15.2% in the UK. (according to https://www.gov.uk/government/uploads/system/uploads/attachm...).
(Source: https://www.gov.uk/government/uploads/system/uploads/attachm...)