In the UI it would be nice to duplicate the selected connection, in the menu "With Selected". 

The copy would be set with the same name plus some suffix (_copy, _1, whatever) and it is useful for when you have a connection with all equal fields except something in a particular one. 
airflow/www/views.py
"""Customize permission names for FAB's builtin UserOAuthModelView."""
    class_permission_name = permissions.RESOURCE_MY_PROFILE
    method_permission_name = {
        'userinfo': 'read',
        'list': 'read',
    }
    base_permissions = [
        permissions.ACTION_CAN_READ,
    ]
class CustomUserOIDModelView(UserOIDModelView):
    """Customize permission names for FAB's builtin UserOIDModelView."""
    class_permission_name = permissions.RESOURCE_MY_PROFILE
    method_permission_name = {
        'userinfo': 'read',
        'list': 'read',
    }
    base_permissions = [
        permissions.ACTION_CAN_READ,
    ]
class CustomUserRemoteUserModelView(UserRemoteUserModelView):
    """Customize permission names for FAB's builtin UserRemoteUserModelView."""
    class_permission_name = permissions.RESOURCE_MY_PROFILE
    method_permission_name = {
        'userinfo': 'read',
        'list': 'read',
    }
    base_permissions = [
        permissions.ACTION_CAN_READ,
    ]