This has been an interesting thread.
As a midwife I have to say that it is really unlikely that you will have another shoulder dystocia, and as your last one was dealt with competently, there would be no reason to think that another one would not be dealt with equally well in a different hospital.
All midwives are trained in dealing with shoulder dystocia annually, and should be able to perform the maneuvers in their sleep! Also if there is a patient with a previous SD about to deliver, the Docs will hang about outside your room waiting.
I have no knowledge of the hospital you are going to, but any hospital can get a bad rep from just a few crappy midwives - doesnt mean that the rest of the staff are equally bad. When I did agency work a few years ago, I deliberately went to work in the labour wards of some of the so called 'worst hospitals' in London, to see how they were, and surprisingly, most staff were actually ok, but obviously a few bad apples let the place down. The standards in the postnatal wards were just third world in some hospitals though
I do completely disagree with Bubble about going private or IMs at home being the only way to guarantee a great birth experience (postnatally, it would definately be much better). If its going to go pear shaped, it will happen in the NHS or privately or at home, and the only difference is how they will deal with it. I have seen women saved in my NHS hospital who would have most certainly died in most private hospitals or at home. But these are exceptional cases. (Incidentally, I am a great advocate of homebirths, with 2 of my dcs homebirths, 1 successful and 1 transferred in)
In the NHS, most people will have a reasonably good experience, as you have twice, and of course things can go badly wrong and it is devastating for those involved, but they are very rare.
An el c/s is a very safe op generally, but I really think you would do well having a vaginal birth, but the choice is yours and most OBs would support you if you really did want a c/s.
HTHs