I'm the same as in its not just about childbirth, but that is the focus of my fears. Again for me its very much about needing to feel in control and very little is about pain as such. This is very common indeed.
The hospital were aware of my anxiety at my booking in appointment because I had discussed things before getting pregnant, and my midwife did suggest that I got some support with their mental health team to help with my anxiety over the course of the pregnancy. It may be worth asking if they have this in your area so you can explore various possibilities that might help you cope.
I was very, very worried about this and how I would be treated and what it would involve and whether I would be taken seriously and whether I could trust them. I've been to two appointments now - the first was a quite honestly disaster - but the second was very productive in the end. They did seem to learn what some of my triggers were in the first appointment, so tried a very different approach for the second which suited me a lot more already.
The hospital I'm at takes the attitude that women with anxiety usually need more support and part of giving mental health support is simply nothing more than just about building up a relationship with the hospital midwives so they understand you and so you can start to build up more trust with them.
From what you've put on this thread, you do seem to have a certain amount of a lack of trust in the hospital; anything that might help improve that for you, so maybe this might help you.
I do think marking yourself as someone with anxiety about the pregnancy is a positive rather than a negative thing for this reason alone. They are making some exceptions to what they might normally do, to help me feel more in control. Including some things that I didn't think would be possible but they have reassured me that they can tailor my care to help. I've been pleasantly surprised at what both the hospital and the community midwives have said might be possible (this is two separate authorities I'm dealing with).
I think its also important to realise that whilst women can have very similar fears, there is no 'right' way to treat it. Even NICE have freely admitted that there is very little research into what helps women most and that it is an area in urgent attention to improve the gap in our knowledge. Plus everyone responds differently to different things. So it is a little bit hit and miss in finding the right thing.
For example I was offered a referral for CBT but I turned this down; I know there are a lot of MNers who have found it very helpful though. I know a lot of other people have found hypnobirthing helpful. Doulas or independent midwives are another option; they haven't got the same emotional involvement but can advocate for you or potentially question the midwives caring for you. And then others swear by going for a homebirth as the statistics suggest this can be potentially safer for mothers than a hospital birth (more so for second birth than first).
Going back to your original post about asking whether having your midwife mother and DH doctor there, is a bit of a red herring in a way. I'd ask whether this is just about spotting something going wrong. Is it also about how confident you feel in yourself to assert how you feel and be in control of the situation, rather than just do as you are told.
It sounds like don't really know what your rights are and again I don't think you fully know what options you potentially have (eg you dismissed an ELCS outright as you didn't know its a medical issue and the fact you are asking whether you can refuse forceps or not is telling). This is what YOU perhaps need more than people with a certain medical background.
My concern, particularly with your mother with her being a midwife, would be whether their ideology and understanding matches your preferences. They need to understand your emotional needs far more than your physical ones. I get the impression, you haven't really discussed your fears with either of them yet.
I think more than anything, this is where you need to start - you may find that you are somehow at odds with them or that they don't fully understand your 'irrationality'. I think having confidence and knowing what you want in your own mind, rather than confidence in their experience is really important.