The security of the venue should think of the solutions for these kinds of problems. You can't really avoid fans that will fight especially if it's a very tight game and people are high on their emotions. Even without booze or beers in the stadium, these fans with high emotions will always want to duke it out against fans from the other team. I guess a better deterrent is to impose heavy fines and possible jail time to those who instigate a fight, or participate in it, for people to think twice before lashing out their emotions on other people.
Or maybe they should just add more security personnel that knows their stuff, especially on games between known rivals for a long time and have a long history of incidents happening when these teams play.
What I want to suggest I don't know if it can be possibly practiced but i know that if it's being practiced, it can stop the repeatedly fighting and what I want to suggest is that the stadium should have a barricade to seperate both fans from sitting next to each others. The stadium should be divided into two parts and let the fans of each team occupy their seperate parts and should not be allowed to go to the sits of the fan of another team. If fans of the different teams can be kept separately, it would stop the fight, maybe after the match they can fight outside the stadium.
This is easier said than done. Seats are usually chosen by people not because they are supporting a team, but because they want to get a better view of the game. If the organizers were to implement this, how about those non-hardcore fans who just want to watch the game? They will be given seats that are not ideal for viewing, or somewhere they wouldn't get their money's worth.