This is a troubling story in several ways, Tony. I don't know you personally at all and I hope that you don't take this as a personal attack.
Perhaps the most beautiful thing about jiujitsu is the confrontation and defeat of the ego which occurs every time you tap out. If you find yourself ruled by pride, you may try to 'excuse' the submission and then return to sparring with increased intensity in order to 'prove' that you're somehow 'better' than the submission showed. But surely the correct response is to admire the correctness of the technique that was applied, and search your actions for the errors which led you into failure. In doing this, you are reminded that you are eternally a work in progress, and that you have just been pushed along the path in the correct direction towards ultimate and unattainable perfection.
There is nothing to prove, no value at all in winning at a gym, and no reason not to abandon a situation that is for any reason counterproductive. If your opponent is bigger/stronger/more skilled compared to you, tap out. If your opponent is rolling spastically and you feel physically threatened, tap out and stop rolling with him. If you are actually physically injured, you go home and heal or at minimum sit out and watch. If anything is incorrect, you leave. Tap out, and just walk away.
If the only thing you had said was that you had broken your nose and continued rolling, I would already be flabbergasted. Why on Earth would you do such a thing?
In order to convince people that your martial art is correct, you do not 'beat' them; you show by example what it is you hope to achieve through your art. There is no need to bully, brag, challenge, humiliate, belittle, or antagonize anyone; simply be polite, respectful, and practice your art. People will eventually come around. Or they won't; does it matter?
Both you and your pride have been wounded. I hope you heal well but that your pride dies, Tony.