I think it depends on the dogs though...
If you show in conformation, you know there will be girlies in full season sometimes at shows. Heck, people have bred dogs at shows too.
The way to handle it is using stuff on the dogs noses to keep them from smelling the girlies, etc...
But otherwise, it's not too crazy from the conformation perspective.
If conformation dog shows can run smoothly with anywhere from 1000 to 2000 intact dogs and you've got little kids handling some of the dogs in juniors, but even regular classes. And so on.... without incident.
And as I've said before - my first obedience trials as a teenager, I remember going out into the obedience ring outside.... which was literally the next outside ring over from the conformation stuff. This was also back when obedience entries were as big or bigger than today.... and there was more crossover from conformation to obedience (back then the obedience instructors would literally tell people to show their obedience dogs in puppy classes (conformation) just to give them positive ring experience + socialization! <= this was before limited registration + before AKC opened the door to mutts, so it was more expected that if you had a purebred dog with papers, they could show AKC conformation.
I get what the ladies are saying above about "AH bad idea!" about having girlies in season at agility or obedience stuff and the moment people try equating dog rights with womens rights, I'm not having any of that. But you could definitely throw it out there that if a dog is aggressive towards other dogs, there should be no excuse for it.
The bitches in season bans annoy me because I have a friend who basically had the club kick her out of classes for a whole month because as long as her girl was in season, there were people using her dog as an excuse for their dog not being trained enough to ignore distractions like that. <= I remember the day and situation, because the person's dog was going after any dogs near him including mine (who was not a conformation dog, but was unfazed by any smells).