As I see it for country to disconnect from AI they'd need to go fully isolationist. Disconnect the internet fully from the rest of the world, block all mail, block all imports, disconnect all financial markets, etc. Otherwise they'd simply become a consumer of the AI output of other nations. For example, if AI can predict stock markets better by efficiently parsing financial documents then eventually foreign investors leveraging AI would dominate. That will work for a while but eventually AI will get cheap and efficient enough to be easily hidden. So now you need the government to police for AI, search people, track everything they do and so on. Criminals using AI will rise to power and prominence until stopped. Essentially prohibition or the war on drugs all over again.

edit: And of course to better understand and deal with the AI threat the government would be given exemptions to the laws. These exemptions would be used more and more widely by the government to exert power while the population is not allowed to even look into what is possible.