Are all anxious people either AP or FA?

Interesting question. But can't anxiety manifest in ways that don't have to do with relationships (ex: a lot of anxiety about germs or airplanes or fires or something) and thus be irrelevant to attachment styles?

Also I would wonder if anxiety could lead to detachment.

I have to go but interesting questions...

So DAs definitely struggle with anxiety too, what about secures?

Well, I was thinking more general anxiety as opposed to anxiety about one specific and rare thing like going on airplanes, although I don't actually know if people who get serious anxiety about something like that don't have anxiety in other areas. Sounds like DAs deal with anxiety too, but I'm still curious if it's correlated with insecure attachment styles in general. I feel like having a lot of anxiety could come from the same kinds of causes as insecure attachment. 

I am a secure and I do can feel anxiety but I guess I just handle it in a different way than people with insecure attachment.

I am at work now but I can explain later

There is also some interesting research on the cortisol response (stress hormone) (which naturally fluctuates over a day in even a Secure, but can be influenced by depression, etc) to specific interplay between attachment couplings - and also the difference between men and women in these cortisol responses.

There some kind of anxiety that I kind of like to feel. For exempel at my work, at the university. Some level of stress makes my performance better.

In relationship I can say that secure people fights too, we get irritade with eachother and we have bad days, we are just humans. But the anxiety I feel is not going to make me afraid that my partner and I are going to break up and I don’t feel like a have to build walls to protec myself eighter... I know that my partner loves me and that we care for eachother. I will feel anxiety because conflicts are stressful but things are going to be just fine.