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
"""Clears the Dag."""
        dag_id = request.form.get('dag_id')
        task_id = request.form.get('task_id')
        origin = get_safe_url(request.form.get('origin'))
        dag = current_app.dag_bag.get_dag(dag_id)
        execution_date = request.form.get('execution_date')
        execution_date = timezone.parse(execution_date)
        confirmed = request.form.get('confirmed') == "true"
        upstream = request.form.get('upstream') == "true"
        downstream = request.form.get('downstream') == "true"
        future = request.form.get('future') == "true"
        past = request.form.get('past') == "true"
        recursive = request.form.get('recursive') == "true"
        only_failed = request.form.get('only_failed') == "true"
        dag = dag.partial_subset(
            task_ids_or_regex=fr"^{task_id}$",
            include_downstream=downstream,
            include_upstream=upstream,
        )
        end_date = execution_date if not future else None
        start_date = execution_date if not past else None
        return self._clear_dag_tis(
            dag,
            start_date,
            end_date,
            origin,
            recursive=recursive,
            confirmed=confirmed,