Idealistically, they would drop this thing entirely and get along like friends should but realistically, I don't see them stopping anytime soon unless someone of higher status gets involved. I haven't seen Jitspoe in almost a week, Chef-Killer last posted maybe a month ago, T3RROR15T doesn't seem like he wants anything to do with this, and no other mod/admin has been active in the past year. (Clipz doesn't count seeing as he's probably gonna get demoted if he keeps this up.)
I agree, it would be great if they got along like friends but like you said, that's not very realistic. A realistic way would be for them to take it somewhere private, that's not on these forums (except if they were PM'ing) but for this to work, we have to stop egging them on. Making a whole thread devoted to them arguing/flaming does not help the situation.
As you're new, you may not know about the "Show the last posts of this person." link on everyone's profile. This will show their last posts. Also, their is a "Last Active" field, where you can see they were all last active today.