There seems to be no way to end the conflict between NCR and BoS peacefully, assuming you support Hardin as elder. He gives you a key to the safehouse and then sends you on your way, but the NCR quest still lists 'find a way to deal with the brotherhood' and the only way to earn their trust is to wipe them out. This is despite the fact that there's a dialogue option with Cassandra Moore regarding a possibility to defuse the situation diplomatically.
I haven't tried completing the quest with the previous elder, and unfortunately can't due to having saved over that part of the game, but as far as Hardin goes, you can't ask him to quash the beef with the NCR. Right now the only way I can proceed with the main quest for the NCR is to blow up the bunker or kill everyone inside.