My niece is one of two girls on a mixed soccer team. The coach gave made them start running before the boys and them told the boys they better catch up or be embarrassed. No one ever caught my niece, though. Coaches like that encourage the war between the sexes. I've heard good and bad things about them.
PE can do a lot for fitness and book learning.
What can parents of disabled children do to get their kids involved in team sports. I think for a listing near you. And variety is key to developing lifelong eating habits. I doubt if you'd have to worry about that with your sons but you may need to supervise who they hang with on the slopes. But they don't have good judgement so keep them on the bunny slopes.