I think I may have messed something up in New Vegas. [SPOILERS!]

Okay, so I've been playing Fallout New Vegas for a while now, and I'm getting on in the story stuff, and I've been trying to do stuff for the NCR along the way. But I think I may have backed myself into a corner. 
 
See, I'm at the part in For the Republic Part 2 where I'm supposed to "deal with" the Brotherhood of Steal. Now, of course I want to try and do this peacefully (as I did with the Great Khans), but there doesn't seem to be any option to do so when I talk to the dudes in the Bro-hood bunker.  
 
So, I decided to go look some stuff up online (because I'm not opposed to looking stuff up every once in a while), and apparently since I decided to help Hardin become the new Elder (which I did because I figured that ending the Bro-hood lockdown was the only way to get them to help me against the Legion) makes it so that I can't get them to ally with the NCR. Meaning that the only way to complete the quest is to kill off the Bro-hood (either directly or via self-destructing their base).  
 
Now, obviously I don't want to destroy the Bro-hood, because I went through a ton of trouble to earn their trust, and to get Hardin to be Elder. Also, I don't have a save left from before he was Elder, and even if I did, I wouldn't reload it, because that was about 10 hours of game-time ago (during which I did all sorts of badass stuff like storm into Caesar's base and fell him and his minions).  
 
So now I'm at a loss as to what to do. I could always just side with Yes-Man and go do all that stuff (which will apparently alienate me from the NCR), but I specifically went and added a bunch of points to my explosives skill (and even used the Tag! perk on it) because I read online that you need that to be 50 in order to save President Kimball (yeah, I read a good amount online).  
 
I suppose I should just man up and take out the Bro-hood... 
 
Anyone got any advice? Like if siding with Yes Man is worth it?