Crucible as a whole. Just strip it down and make it a non-essential party mode with Power, gear perks and Buffs disabled. Also remove Quests and loot from it and use the time to make more loot and Quests for PvE. Also turn Iron Banner into a PvE event, where Saladin summons Guardians to prove their mettle against a single Strike that has completely reworked encounters with different enemies every month and with a difficulty higher than any other PvE activity, but not as hard as Raids, with a unique boss that will only appear in the event version of the Strike. Also turn Trials into a PvE Time Attack mode. Have all players segregated into a course by themselves and make them race to the end, killing as quickly and efficiently as possible to earn enough points to unlock the door at the end. Slowest time or lowest point players are eliminated and a new round can begin, with progressively harder courses each round until only one player remains. Everyone can easily see that the team is far superior at PvE content and you should focus your efforts in that, instead of trying to convince yourselves that you can make a balanced, eSport worthy competitive mode.