I want to make a brief point about methodology.
We're talking about apologetics, and there are MANY different and effective ways to go about it.
I think we can often choose the best approach simply based on context:
1) What is the environment we are in?
2. Who is the person in front of us, that we're talking to?
When Christ spoke to people, he gave each person a special message, just for them.
He spoke to each person in a different way, so THAT person would best understand.
I think that whether we are preaching, witnessing, or doing apologetics,
we should still be using Christ's example of tailoring the message to the listener.
With this concept in mind, there really is no "bad" apologetic argument,
only the ability to present it badly.
There are no bad arguments, just arguments that fit better in different places,
and with different people.
The most important thing is to be walking closely with God, so we can be led by his Spirit.
Once D.L. Moody was confronted with an atheist, and he had a VERY STRANGE apologetic argument.
The Atheist came up after a sermon to argue.
Moody turned to him and said, "The soul that sinneth, it shall die."
Then Moody went back to talking to someone else!
Soon the man raised his voice, and began to argue again.
Moody again turned to him and said, "The soul that sinneth, it shall die."
And AGAIN he turned his back, and went back to talking with someone else.
This happened numerous times.
Each time the man tried to argue, Mood said the same thing,
"The soul that sinneth, it shall die."
Eventually Moody and his companions noticed someone behind them
kneeling on the floor, weeping and wailing,
bawling his eyes out in a terrible fit.
They looked closer...
it was the same atheist, now broken... broken and humbled before his God.
He repented of his sins that night, and gave his life to Christ.
That is how Moody discussed the existence of God with an atheist.
There are many ways to do apologetics,
from discussing particle physics to discussing only the heart.
Whatever we do, we need to be led by God,
so that He can help us choose the right discussion for the right person.