All configuration profiles on your computers related to the account management capabilities in Self Service+ (formerly the Jamf Connect menu bar app) will need to be removed. Following that, each user will need to have the related PLIST file removed from their computers. Lastly, the new configuration profiles can be deployed to your computers associated with the new identity provider.
Using your MDM solution, delete all .mobileconfig files for Jamf Connect from your organization's devices. If you are using Jamf Pro, these can be deleted by removing the devices from the Scope of your configuration profile. See Computer Configuration Profiles in the Jamf Pro Documentation.
The new configuration profile is distributed to computers and Self Service+ restarts with the settings for the new identity provider.