Until we adjust public policy to change that, doesn't matter how cycle chic we get here in the US. The car will still be dominant.
One thing the video completely skips out on as a reason for high cycling mode share in euro nations, is the fact that fuel is not subsidized at the same rate it is here. Gasoline is about $7/liter in the Eurozone. Gasoline is $3.80/gallon here in the US. The price differential is due to subsidies for fuel, making it cheaper to drive in the US than in the Eurozone. By a magnitude of 5 (If my off-the-cuff math is correct).