This a loaded question with little information for evaluation so keep that in mind. From your description, I would have to say no, this is not for you. Training a green horse has little to do with riding. When I hear you make comments like you "ride horses the public doesn't ride", "you keep calm during fits", "love high strung horses", "excited mounts are adored", you can "keep anxious mounts calm during a ride". A good trainer would have one comment about all of these horses and that would be "DON'T GET ON". You have to control the feet. If you cannot control the feet, you will never control the mind. Anyone who would compliment you and encourage you to get on a horse that is not broke to ride, (i.e. known to be anxious, nervous, spooky, jumpy, a horse that is not confident, a horse that is fearful, a horse that is not trusting), is an idiot that does not have your best interest at heart (or it could be that they don't know any better - just cowboy up) which is wrong and dangerous.
All horses need a basic foundation, a solid foundation. Without it, you have holes in your horse and little issues will continue to appear on a fairly regular basis. If you were proficient in colt-starting, you could consider this, but otherwise, it is not a good idea. I would urge you to be safe. You stated you have never trained a horse before and no offense, but the people around you do not sound like people who are qualified, in my opinion. They sound like people who are stuck in the "old ways" of horse handling (force, pain, devices, getting on a horse's back much too soon, without completing a solid foundation).
Being able to ride is really the act of simply not falling off. Being a rider of advanced ability is one who communicates well with the horse, the cues are virtually invisible as the horse responds with perfection and a complete willingness. A rider on a horse that is prancing and dancing and going sideways with head up, mouth open, eyes big and filled with fear and totally lacking in confidence, is not a rider of any quality. They are just hanging on and they just haven't hit the ground right yet and the poor horse has a horrible life being so fearful and uncomfortable in his own skin. Does that make sense to you? I hope so. Nothing is more important than your safety. Please, I urge you to use great caution in your decisions. Be safe.