Well, if you wanted to prove Neuhaus wrong, or, at least, to show that his argument isn't an conclusive as he might have thought, the first thing I suggest you do is to define, very carefully and very charitably, the strongest possible formulation of his argument. You would have to define exactly what he meant by a good citizen, what he meant by an atheist, and why it is that he thinks that atheists can't meet that criteria. You could then show how his terms are wrong, trivial, tautological, don't take into account other relevant facts, have perverse consequences that he might wish to avoid, etc...
that's a lot of effort for something that easily disproven by example.
If someone was to write a treatise on "all Balls are round", I do not need to write a rebuttal on how the author define ball, what the author means by roundness and what is required to not meet the specifications of being round.
I can simply put a football on the table and say, "This ball isn't round." Or drop a Rugby ball on the table and say, "This ball isn't round" Or drop a testicle on the table and say, "This ball isn't round."
If the Author was to say, Well those balls are round and by round I simply meant smooth.
then I can drop a golf ball on the surface and say, "this ball isn't round."
Which could result in a continual back and forth until the definition of round becomes so broad as to be meaningless or so narrowly shifted that the common definition is no longer being applied.
In other words, this is simply a form of Loki's Wager. When does the head begin and the neck end? Overspecification can continue ad infinitum and that continual back and forth doesn't do anything to support the original argument.
Examples of atheists (of various flavors) have been given who can all be defined as good citizens for various reasons. That is enough to disprove the statement, "Atheists can't be good citizens."
Any attempt to redefine the terms atheist and citizen to such a degree that it would make the statement "Atheists can't be good citizens" true would be so different from common usage as to render the statement unitelligible in english. These new definitions (which make that sentence true) do not by proxy make the original definitions hold true in that sentence. Yet, it appears that this is the whole goal of this exercise. That is the reason for the continual question, Do you believe that atheists can't be good citizens?
This proof by proxy is intellectually dishonest and meaningless.