I've had that feeling before, too, of not feeling normal when I'm NOT anxious. I lived with anxiety for so long that when I started therapy and the anxiety started subsiding I found I was having trouble functioning. Part of that may have been PAWS for me, though.
Are you doing meditation, tai chi, yoga or anything like that? I run and take tai chi and those have both helped me learn to clear my head. My therapist said a lot of my anxiety came from a lack of self confidence, so I took up boxing to help with that and it's worked really well. Now when I start feeling anxious at work if I have a meeting or presentation coming up I just tell myself,"If I can last 3 rounds with someone trying to knock my head off, I'm sure I can sit through this meeting."