I'm going to assume that you use the word "fight" in place of self-defense out of convenience. If not, so you're aware, I differentiate between the two. I'm rather fond of Marc MacYoung's interpretation in his article
The difference between fighting and self-defense.
Now that that's out of the way, in a self-defense situation I am not going to use my training to win, I'm going to use it to survive. I see surviving and winning as two entirely different concepts. Traditionally, to win can mean to struggle, but modern interpretations often apply its use to sports, so we'd normally associate it with victory in a contest or with the act of earning. So, in this case, survival does not equate to winning. A strategic retreat (running), for example, is not often viewed as a successful win, but its applications for survival are invaluable.
If you view survival as noble, then yes, I see Martial Arts as a noble endeavor. The promotion of Martial Arts is not my goal. I study a very old and very traditional Martial Art that has survived many centuries beyond the public eye. It is now perhaps more public than it has ever been before, but even then it is a relatively obscure Martial Art.
I don't see sport as the next best thing to self-defense. I originally come from a sport Martial Art background, and I find the differences between sport and reality to be significant indeed. I am not suggesting that sport doesn't have beneficial applications, but in terms of preparing someone for real life altercations I find it rather unsatisfactory.