The best way to clear any group event is to work with your other players, not against them. If you see a party is struggling and your party is doing just fine, toss them a few extra heals or a raise to get them back on their feet, just for example.

I already see too many parties trying to "compete" with other parties in CT. The dungeon is 24 people vs. the enemies, not each party vs. each other. Anything to encourage parties bickering with each other even more than they do now isn't something I'd want to see.