I agree, we all have the anxiety 'button' naturally built in us for survival---the fight or flight response. And that response is all fine and well when it fires at appropriate times, for the reason it was put in us---to fight or flee. I don't think most of us want to get rid of that particular type of 'anxiety'. It's the firing of the alarm when there is no danger present, type of anxiety that we can live without.
Now, I'm talking about anxiety with no medical reason, like in hypothyroidism or other medical issues that can cause it. I'm talking about the type of anxiety that we create out of our fears or from living under undo stress. Fear is the trigger for the symptoms of anxiety, so I suppose if we figure out what it is that we fear, and work on eliminating that fear, or coming to terms with it, then we can manage our anxiety, or reduce it to appropriate levels to have a better quality of life. The same goes for stress; too much stress will make anyone anxious or tense, so learning how to deal with stress in a way that can minimize it's effects would probably help get anxiety down too.
If 'cure' means getting rid of anxiety for the rest of our lives, that would be ideal, but I think the 'cure' is a daily work in progress. One step at a time, one day at a time, one challenge at a time, that is how to overcome it.