It's not true.
In fact, because deeply spiritual people, along with writers and other artists, also tend to be deeply intuitive people who absorb the even unspoken emotional sensitivities of others, I'll bet they're subject to even more worry and fear than others.
The difference is in how they deal with worry and fear.
At any rate, for what it's worth, here are two of the (healthy) ways I have learned to deal with my own worry and fear:
First, I remind myself of the wisdom offered by Stephen Covey.
"We each have a wide range of concerns," Covey writes, "and inside this "Circle of Concern" are things like our health, our children, problems at work, the national debt, nuclear war -- anything we have some mental or emotional involvement in."
But as we look at the things in our Circle of Concern, we realize there two types of things in there:
- things over which we have no real control, and
- other things we can actually do something about.