Athletics and Occasions of Sin

Just thinking publicly on this.

Is it possible that we should do away with student athletics in Catholic school systems? It seems that if athletics are an occasion of sin for the student athletes, the coaches, the sponsors, the staff, the parents, or the priest(s) that perhaps it is wise to discontinue their associations with Catholic schools. In the Indy area, in fact, we have CYO athletics that take place on Sunday! There is no day of rest with the level of competition they are expected to have here.
In my day, where we didn't have CYO but did have one sport in the fall for boys, one for girls, and one sport in the winter for boys, and one for girls, we had fun playing, some of us got good, others not. The long and short of it is that we didn't practice as much as these guys now, they have several sports from which to choose each season, and we certainly didn't have games on Sunday.
If the athletics makes people more likely to fall into the sins of anger and/or pride or makes it difficult to fulfill one's religious obligation should it be something to which Catholic schools provide any support whatever?