A player that does not start must understand their role on the team. Great teams have great depth and can overcome the ties when all team members cannot be present. As your team starts having some success, make sure your team is not getting a negative reputation. Trash talking and overly celebrating when good things happen can be dangerous. Don't give the opposition any other motivational tools.
Weaker teams can somehow rise to the occasion and challenge of a more talented adversary.
Keeping your squad together is another key to an intramural dynasty. Team members will be heavily recruited by other teams looking to rebuild. You have nothing to offer a player to stay put other than a chance at continuing the dynasty and expanding collection of cool championship trophies. You have the great team with good team chemistry, talent in a variety of sports and team depth. Now you need a great name to appear everywhere and to go down in history.