Good lord! You have close to 68,000 posts! I realise that it's
over 4 years but still...
Scary... 
I do agree with you that there may be misunderstandings if someone
is not able to express himself well. That is why each party should
give the other the benefit of the doubt.
Obviously, you don't want to win an argument because the person was
not able to express himself well. You want to win an argument on
it's merits. Also, if you critically examine the strongest
arguments a person has, it helps you refine your own arguments and
make them better.
And of course, if the person's arguments and evidence are
overwhelming, you should have an open mind and at least accept it
is a good argument, even if you are not convinced right away.
The only caveat I would say is that one should have an open mind,
but not so open that your brains fall out. You should still examine
every argument critically.
If an argument is unclear to you, you should put yourself in your
opponents shoes and think of how you would argue his or her point.
You should then seek clarification if that is what the person
meant.
All this should be done with respect. Everyone has a reason for
their beliefs. Where we differ is usually in our basic
assumptions.
My basic assumption is that scientific method is the only way where
we can gain knowledge. Other people believe there are supernatural
paths to knowledge. I disagree with that view. I feel it's a
slippery slope. If you believe one thing without evidence, you can
believe anything without evidence.
The other fundamental difference is the standard of evidence. Some
may argue that my worldview precludes any knowledge. They argue
that if one is skeptical about everything, it leads to analysis
paralysis where it's not possible to know anything at all.
My view is basically a pragmatic one. I don't care about any theory
if it cannot make predictions and it's not testable. I don't care
if the universe was created in a spontaneous big bang, or if the
universe is eternal. I don't care if a deistic god created it if it
tells us nothing. So even if someone comes up to me and says
"there's a supernatural world that is beyond our understanding and
evidence", it's largely irrelevant to me if there is no effect on
the natural world.