Stopping drilling just means another producer fills the void, and the Norwegian economy suffers as a result. People rightfully react to that and often elect someone on the other end of the political spectrum. Not only do other producers have less env. regulation, but the backlash from the Norwegian populace could elect a government within Norway who slashes this regulation and restarts production. History is replete with reactionary governments, especially when the Overton window is shifted too fast.
My point is, keep diversifying the economy, keep diversifying energy sources. Just because drilling continues does not mean alternative energy is slowing down. Take it slow, else you risk backlash.