A popular method most games use for griefing (and team killing) is the use of suspensions for players who are continually for griefing (warnings prior to suspension, suspension time increases incrementally if behavior continues with little to no decrease in griefing ) this is fairly common place in video games so I don't see a large portion of the community being outraged by this.
Ideally this would be put in place alongside an in-game report system for griefing/Toxic players and possibly through some sort of auto detection