Thank you Elan Vital for the post, another thought provoker. I always enjoy reading your posts.
I think anxiety is just a more specific way of looking at fear, instead of two different emotions.
Fearing change is akin to fearing the unknown, and I think it's most likely a form of anxiety. It's pretty maladaptive, but not uncommon. The issue with fearing change in general is that you have such a broad fear that it can be paralyzing. Try to think of what specific changes are most frightening to you, and how you can avoid/overcome these fears. Some of your fears may be completely legitimate concerns, like being afraid of foreclosure if you haven't been able to make a few mortgage payments.
Everything is changing, "You can't step in the same river twice" - Heraclitus