BMPC active MFT lens push focus and IS best practices

What is the best practice for using the focus by pushing the focus button when using an active MFT lens. I have always been taught that you do not use auto focus tools when doing professional cinema/motion work. I can understand the purpose when taking a still photo but not sure the advantage or best practice rational is for using the push focus button. Perhaps I do not fully understand it's purpose or how it is best used in digital cinema.
Secondary question how much of a difference does IS lenses make? Is using a mono pod for short takes and then stabilizing in post a realistic workflow or is a lens with IS a must?
Thank you for your taking the time to read this post.
Cheers,
Mike Kroesen
Secondary question how much of a difference does IS lenses make? Is using a mono pod for short takes and then stabilizing in post a realistic workflow or is a lens with IS a must?
Thank you for your taking the time to read this post.
Cheers,
Mike Kroesen