Well, there are a plethora of benefits team sports bring to players and how they make one better: discipline, commitment, persistence, self-improvement, health, mental and physical, camaraderie, trust, faith, friendship, emotional maturity, self-esteem, character, morals, ethics, honor, critical thinking, anger management, problem-solving, stress management, endurance, stamina, agility, dexterity, pride, dignity, community...
Of course they are negatives, competition does that, but learning to lose is also important. Violence in sport is (mostly) controlled , chanelled and directed. The instances where actions supercede sense and control are infinitely small compared to the every day-every sport successes.
If nothing else, you could watch a sport and its participants as individuals who are striving to be the very best at what they do and their adversaries are trying to deny them that.