I get what you are trying to conceptualise here, but I think you are misrepresenting the mental health condition of anxiety in relation to non-autistic people.
In the first place, you describe it as 'normal anxiety'. No form of therapy is needed for normal anxiety. It is something perfectly functional; it is not the target of CBT. Anxiety only becomes the proper object of therapy when it is a diagnosable mental health condition.
In the second place, you make a contrast between 'hypothetical' sources of anxiety for non-autistic people and 'real' sources of anxiety for autistic people.
Surely you can see that this isn't fair or realistic? Why should the particular sources of anxiety around autism that you mention be regarded as more real than, say, the sources of anxiety around managing other conditions, such as chronic pain or IBS or cancer? And why should they be regarded as more real than, say, managing a job, parenting young children, caring for an elderly parent?
We all have 'real' sources of anxiety, whether we are autistic or non-autistic, and for all of us (autistic or non-autistic) there is the same distinction to be made between psychologically healthy and psychologically unhealthy ways of dealing with those sources of anxiety.
I think you have accidentally 'privileged' the anxiety that is associated with autism, with the effect of minimising the struggles of non-autistic people dealing with anxiety as a mental health condition.
A lot of the discourse around autism has this same effect. This may be because people who seek diagnosis in adulthood often do so because they are looking for clear reassurance that their struggles are real and deserving of support. The flipside of this reasonable quest is that they do not feel confident that the same struggles are equally deserving of support and tolerance in the absence of that diagnosis.
It is also worth remembering that for every person with a diagnosable mental health condition such as anxiety, the condition is caused by a confluence of neurological features in addition to psychological and environmental features. In that sense there is no sharp qualitative distinction between autistic and non-autistic anxiety.
For people whose autism is only diagnosable on the basis of the widened criteria that are currently used (and on the basis of the less rigorous assessments that Frith mentions in the interview), it may make sense to regard their autism not as a diagnosable 'condition' in its own right, but as a neurotype that predisposes an individual towards anxiety. There are many other predispositions to anxiety, both neurological, psychological and environmental, and several different therapeutic approaches, each of which may be suited to particular constellations of predispositions.
By taking these less severely impacted people out of the diagnostic category of autism, we still leave space to acknowledge their challenges (including the vulnerability to anxiety), but we don't have to label as a disorder something that is essentially simply a variation, one which may or may not lead them to encounter mental health difficulties requiring intervention.
As well as protecting people from unhelpful labelling, this would also help us to give more attention and more resources to autistic people who meet the criteria that were in force before the diagnostic category was widened. For these people, autism clearly is a condition in its own right, very severely impacting their lives.