To be honest, I don’t think you really can be neutral. Unless you’re a psychopath or extremely lazy, you are bound to form an opinion on whatever the subject at hand may be. However, as I get older I’ve begun to realize that you really do have to pick your battles.
Some things are just not worth fighting for. Speaking up could put your livelihood or a valued relationship at risk. Some people are not going to benefit from the wisdom of your logical retort regardless of your succinct rendition of the facts. Some things you just know you’ll never be able to alter no matter how much you would like to. And other things, to be brutally frank, are just not your business.
In times like those, it’s best to at least appear to be neutral, even if you don’t really feel it in your heart. And neutrality does serve a valuable purpose. Look at Switzerland. Even in the most tempestuous times, it is comforting to know that there’s someplace where opposing parties can safely meet and try to communicate. Without neutral zones, there would be no buffer between two opposing forces, and everything caught in between them would be ground to powder. So three cheers for neutrality!
One of the most valuable lessons my mother taught me was a highly effective way to take on the appearance of neutrality. You see, people want to assume you agree with them, so if you can give them just enough verbal evidence, they’ll think what they want to think. So my mother taught me the power of “Mmmm.”
When someone says something that makes me sick, such as “All women should stay at home and raise the children, and leave men’s work to those who are more qualified,” I feel outraged and disgusted, yes, but I also know how pointless the argument would be, so I respond, “Mmmm.” The fool who has put forth this argument thinks I’ve agreed, and yet I can feel, deep down, that I’ve not sold my soul just to get along. I haven’t lied. I’ve just said, “Mmmm.”
Two other great responses are “You may have a point,” and “You may be right.” The listener hears agreement in both those statements even though you are thinking, deep down, “But the point you have is a stupid one,” or “You may also be wrong, and I’m pretty darned sure that you are.”
Sometimes it’s worth wading into the waters of ambiguity in order to keep the peace.
The View from a Drawbridge 
This makes me think of those people who claim to be undecided just days before a Presidential election. Because either they are just looking for attention… or they are too stupid to be allowed to vote… that didn’t sound very neutral, did it?
Mmmm.
Mmmmm… sausages…