Who says they have to have an honest debate? Why can't they just have a conversation with each other? That's the problem with battling attitudes - there isn't any reason why the two of them must come to blows about their opposing beliefs. They can simply respect each other and move beyond it.
As a white male I am often told that I'm not allowed to participate in discussions because of my race and gender due to the discussion taking place in "safe space."
Interesting, because as a white male myself I have never been told that. I have been told that my opinion in a conversation is not an important one, which is often (not always!) a valid point. But I have never been told I am cannot participate in a discussion solely because it is a "safe space". Where are you having these conversations?