This is not the self-understanding of the Catholic Church, and in fact it reminds me of the Donatist heresy. It may be a good description of some Protestant communities of faith, but you will have to ask them.
They are both clubs.. i.e. sheep pens..
I didnt mention the goat pens.. implied but not specified in John ch 10.. Because there are many goat pens.. i.e. Buddist, Hindu, Tau, Animism, Islam, Spiritualism and thousands more, like that..