Difficult question but legitimate in reference to your last comment..."you have more credibility if you can prove you have heard what the other side has said..."
However, from the view point of the radical's views on either side, there can be no compromise in their beliefs, stands, or opinions, whether founded in truth or fallacy.
First of all one must have an open mind, a logical sense based in some modicum of reality, and a willingness to actually learn, adapt and accept the possibility that they just might be wrong in their beliefs.
This is especially true in political and religious beliefs. No-one wants to admit they were wrong, question their base teachings, or look like the dolts they really are by clinging to their closed mindedness.
Even for free thinkers, like myself, it is difficult to even imagine the extremes of points of view from either side of those arguments.
When even "middle of the road" views are not taken as possibilities it is time to end the discussion and leave their debaters to their own devices.