We don't have permissions on Minigames. I support this suggestion but a better solution would be to disable hitting other teammates, as said above.
The new BedWars update included the feature of some unbreakable blocks becoming breakable. The rest of the blocks will become breakable when DaveCarterGaming has time. I think this is the next step, therefore I SUPPORT even though I'd rather prefer disabling the way team-mates can to use fishing rods to team kill. I know that would be hard, and I think it's more important to put an end to it now than trying to resolve a way to make it not harm team-mates.
That IS a solution. Just disable combat to your team players. I agree with Rodeen, I use the fishing rod to knock bridgers off and then I just mine the bridge so it's really handy.