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 PermissionViewModelView."""
    class_permission_name = permissions.RESOURCE_PERMISSION_VIEW
    method_permission_name = {
        'list': 'read',
    }
    base_permissions = [
        permissions.ACTION_CAN_READ,
    ]
class CustomResetMyPasswordView(ResetMyPasswordView):
    """Customize permission names for FAB's builtin ResetMyPasswordView."""
    class_permission_name = permissions.RESOURCE_MY_PASSWORD
    method_permission_name = {
        'this_form_get': 'read',
        'this_form_post': 'edit',
    }
    base_permissions = [permissions.ACTION_CAN_EDIT, permissions.ACTION_CAN_READ]
class CustomResetPasswordView(ResetPasswordView):
    """Customize permission names for FAB's builtin ResetPasswordView."""
    class_permission_name = permissions.RESOURCE_PASSWORD
    method_permission_name = {
        'this_form_get': 'read',
        'this_form_post': 'edit',
    }
    base_permissions = [permissions.ACTION_CAN_EDIT, permissions.ACTION_CAN_READ]
class CustomRoleModelView(RoleModelView):