My take: both of you should remove the negative feedback. If I would loan either one of you $100, I'm pretty sure you wouldn't scam me. That's what the Trust system is for, and that means negative feedback is unwarranted.
You guys don't like each other: that's okay! Agree to disagree. Ignore each other. Or get a beer together. Find common ground instead of drama.
Am in agreement with AI Robovac here. Sounds like for whatever reason things got heated, you both got a lil fiesty, and perhaps made some rash decisions concerning placement of trust feedbacks. But the good thing is its really easy to delete trust ratings.
I check this thread just about every week and occasionally make adjustments to my trust list based on the information therein; would be happier to see the number of names on this lists going down rather than up.