You can’t have both, according to the long version. You are the same person when you use two devices with one Apple ID. Your phones are operating as intended. What you can do on your phone if you don’t want to make a new Apple ID is restricted.
Log in to appleid.apple.com with the Apple ID and password for the account you wish to remove, then go to Delete Account from Family Sharing in the menu. Remove Account is chosen from the drop-down list at the top of the screen.
You can’t have two email addresses linked to the same Apple ID. To use one of you, you’ll need to establish a new Apple ID. Create a new Apple ID. There may be data loss when switching from an old ID to a new one, but it is possible to minimize it.
If you utilize the same data, the same Apple ID, and no cloud, both phones will have all of each other’s information. Any information synced with your Apple ID will be mirrored on your phone. You may use your mobile number to call people over FaceTime on an iPhone.
To cancel your account, go to Settings iCloud and click on Delete Account. (This device will only be removed from iCloud; the person who currently maintains the account will not be affected.) When prompted, give the password to turn off Find My Phone and choose to Keep It On My iDevice. To establish a new Apple ID, use a different login?
