However, the lack of rainfall could be the real killer. As the warm humid air would stops coming it's not clear if the precipitations would be enough to sustain crops in Mediterranean countries.

Also, the US east cost and the Caribbean countries would be fucked as well. All that energy would stay there supercharging hurricanes as they cross the gulf of Mexico. That area of the world would basically be subject to both the precipitations and thermal energy that is now keeping northern Europe livable as it wouldn't spread over.