I deal with conflicts the same anywhere. I avoid confrontation pretty much 99% of the time, because people fighting makes me feel sick/nervous, and honestly I have too thin a skin to go back and forth with people over the internet OR offline.
There are one or two hot button issues though, that I don't care if I make myself look like a fool, because for all the people who sit in frightened silence when someone said something wrong and hurtful related to those issues, I have a voice and I'm gonna use it. If I look like an idiot at the end, so be it, but some things I can't let slide.
If it's just a general disagreement and nothing serious, I like to walk away and give both parties a chance to think about it before coming back to talk in a calmer fashion. Or, if it's clear that the other party isn't interested in talking, at least I can have a laugh about it or something instead of fuming with anger.