The question contains a false premise. The U.S. East Coast is generally warmer than the U.K. West Coast at comparable latitudes.
The Gulf Stream / North Atlantic Current brings warm subtropical water to UK shores, raising winter temperatures far above latitude expectations. The U.S. East Coast gets cold continental air masses from Canada—no oceanic buffer.
Continental heating: land warms fast and deep. The UK's maritime climate keeps summers cool—ocean absorbs heat, onshore winds advect cool air.
Compare similar latitudes: Newfoundland (47°N) vs. France (47°N). St. John's Jan avg -4°C; Brest Jan avg 7°C. The Gulf Stream warms Europe, not North America's east coast.
The temperature contrast is real—the question just reversed it.