Jira Service Desk restructuring customers in an organization

Hi

I want to dissolve a customer team org but still keep the individuals without having to delete their membership and resubmit them into the Jira desk.   When submitting a new request i noticed that one member notified everyone in that org vs sending the request privately to agents in the service desk. How do I dissolve a customer organization and move those individuals to be individuals? Or is there a way to turn off that feature where they cant share their request with other members of their customer organization? 

Thanks