Mindfulness is so powerful that the fact that it comes out of Buddhism is irrelevant.
Mindfulness is often spoken of as the heart of Buddhist meditation. It's not about Buddhism, but about paying attention. That's what all meditation is, no matter what tradition or particular technique is used.
We all need a place that is safe and wholesome enough for us to return for refuge. In Buddhism, that refuge is mindfulness.
If there is any religion that could respond to the needs of modern science, it would be Buddhism.
Mindfulness is the miracle by which we master and restore ourselves.