Someone like Coburn isn't going to understand that the light we see from stars in the night sky is light that was produced hundreds or thousands of years ago and is finally visible in the present after travelling through space for all of that time. He'll just say that God created the earth with an illusion of age, like how Adam and Eve were created as adults.
As for New Age superstition, it's mostly hogwash. There are a few good ideas that should be looked into. Yoga is a healthy practice, many herbal remedies have benefits and should be studied (and regulated) further, and there is something beautiful to be found through meditation. It's sort of a square wheel with a few spokes that are well maintained.
Free society has a way of testing foreign ideas for their validity and relevance. Meditation isn't superstition, and neither is yoga. Herbal remedies? Less precise than the over-refined products of the profit-driven pharmaceutical industry that spends more on marketing than on research (it does comparatively little research; universities and hospitals do most). Herbs have strange chemicals, some harmful (absinthe) and some effective (aspirin as a derivative of willow bark).
I can't see an attempt to hold onto New-Earth Creationism without seeing the potential blasphemy: that God forged evidence of the Universe being older than it is as a snare for those of inadequate faith. That suggests a sadistic God, the sort that Jewish, Christian, and Islamic traditions all consider heretical.