It sounds like you feel overwhelmed by too much information and conversely, lack of information?
What's your instinct telling you? At the end of the day this is your baby, your body, your birth. You have the right to make decisions for yourself that are in your own best interests.
Also..and I know this is somewhat controversial, but everybody should make birth decisions from an informed place - Please don't forget that whilst obstetricians are professionals, they are also well aware of the legal ramifications of not performing c-sects. To date, there have never been any cases of an ob being sued for performing a c-sect...but there have been many, MANY law suits over obs not performing c-sects when it's been perceived that they should have. Obs would rather perform a c-sect and not be sued, than not perform one and potentially be sued.
I know your situation is somewhat unique (which is why, at the end of the day, only you can make the decision about the way in which you're going to birth your baby), but fatigue in labour is not fundamentally dangerous to either you or your baby. Babies still come out - women who were drugged into unconsciousness via twilight anaesthesia through from 1914 through to the mid-40s STILL pushed their babies out of their vaginas - because of the fetal ejection reflex. Women in comas can still have vaginal births. Not being in control of what your muscles are doing because of fatigue does not mean that your body can't push your baby out.
ELCS is inherently risky. Inherently more risky than vaginal birth. Those are fact backed up by the best scientific literature we have (of which I'd urge you to peruse :) ). In every case where something carries an inherent risk, a risk/benefit analysis needs to be undertaken - what are the risks of an ELCS, what are the benefits? What are the risks of a vaginal birth, what are the benefits? Where the benefits outweigh the risks - that's your best option, whatever that might be. For some women that is CS (either planned or emergency)...but in order to make that decision you really need to know what it is that you're dealing with. And I'm afraid you just can't find that out by talking to specialist - because no matter how good they are, they are, at the end of the day, human - and prone to faults, mistakes, and biases. Your very best bet is to do your own research, be really informed, and make the best decision you can taking into account all of the information that you have to hand - and trust that there is nobody, nobody who loves your baby more or wants the best for your baby more than you.