I too am blessed that I love the people I work with. I don't socialize with the people I'm directly responsible for. That is really more an age/life situation. We are rarely off at the same time. One is married with a young child. Etc
I also dislike conflict and I'm a really good manager so don't let that discourage you. I really dislike the drama involved. I don't think management should be about conflict but direct and honest dealings with those you are responsible for. I think your manager is not doing a good job if s/he is allowing these two to ruin the environment. Next time either of them come *itching to you, I'd just say, "I'm not interested." I think temper tantrums are completely inappropriate at work and would say so. It's called anger management.
Go for the promotion! Worse that can happen is that they say no. At least it shows some interest in your job!