The Problem with Being Objective

I once had a discussion with someone, it was one of those touchy subjects of race. I stated my points, and tried to be objective about it. I even spoke in the third person.

The person seem to take note that I spoke in the third person. Why not include myself? Somehow that was implied that I'm not 'with it'.

Another time, I had a discussion with someone, but in an attempt to be objective, I was able to argue both my point.... and her point as well!!

What's the value in being objective? Is it better to be subjective. But then you can't see the bigger picture when subjective. Then again, everyone has their personal truths and what's the point of arguing that?

I guess perhaps is only worth discussing /arguing something if the end result of a planned action can result in bad. Then an attempt to save someone should be done. Any philosophic advice here would be appreciated.