In this dream I had the other night I was teaching an unusually large yoga class, discussing how to come into a yoga state of mind to start our practice. One person spoke up and said "Oh, so we should put on our yoga personas?"
I gave it a thought, and then with much gesticulation energetically responded "Actually, think of it like peeling off the persona(s) you put ON everyday, to get back down TO your yoga self. Take off all that outer shit, the stress of your job, the thick shell of negative interactions and defensiveness and sarcasm. Let the heaviness of responsibilities and obligations for the outer world, just for now, fall away. Shed that overprotective skin and allow the real, authentic you to be presented, to be present. Yoga is what is essential, at the heart of you, what is always there, what is true.
So, no, don't put on your yoga face, take off what obscures it. Get back to the authentic YOU.